1358972640 has 336 divisors, whose sum is σ = 4918185216. Its totient is φ = 354585600.

The previous prime is 1358972633. The next prime is 1358972717. The reversal of 1358972640 is 462798531.

1358972640 is a `hidden beast` number, since 1 + 3 + 589 + 7 + 2 + 64 + 0 = 666.

1358972640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1358972640³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1358972640 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7114945 + ... + 7115135.

It is an arithmetic number, because the mean of its divisors is an integer number (14637456).

It is a 1-persistent number, because it is pandigital, but 2⋅1358972640 = 2717945280 is not.

Almost surely, 2^1358972640 is an apocalyptic number.

1358972640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459092608).

1358972640 is an abundant number, since it is smaller than the sum of its proper divisors (3559212576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1358972640 is an equidigital number, since it uses as much as digits as its factorization.

1358972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1358972640 is about 36864.2460929286. The cubic root of 1358972640 is about 1107.6525995381.

The spelling of 1358972640 in words is "one billion, three hundred fifty-eight million, nine hundred seventy-two thousand, six hundred forty".