1357407744 has 320 divisors, whose sum is σ = 4713984000. Its totient is φ = 336568320.

The previous prime is 1357407743. The next prime is 1357407769. The reversal of 1357407744 is 4477047531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1357407696 and 1357407705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357407743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2720007 + ... + 2720505.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^1357407744 is an apocalyptic number.

1357407744 is a gapful number since it is divisible by the number (14) 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 1357407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356992000).

1357407744 is an abundant number, since it is smaller than the sum of its proper divisors (3356576256).

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

1357407744 is a wasteful number, since it uses less digits than its factorization.

1357407744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The square root of 1357407744 is about 36843.0148603504. The cubic root of 1357407744 is about 1107.2272716505.

The spelling of 1357407744 in words is "one billion, three hundred fifty-seven million, four hundred seven thousand, seven hundred forty-four".