1255343040 has 336 divisors, whose sum is σ = 5008156608. Its totient is φ = 282673152.

The previous prime is 1255343009. The next prime is 1255343041. The reversal of 1255343040 is 403435521.

1255343040 is a `hidden beast` number, since 125 + 534 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1255343040² = 3151772296152883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1255342995 and 1255343013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255343041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471254 + ... + 1472106.

It is an arithmetic number, because the mean of its divisors is an integer number (14905228).

Almost surely, 2^1255343040 is an apocalyptic number.

1255343040 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 1255343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504078304).

1255343040 is an abundant number, since it is smaller than the sum of its proper divisors (3752813568).

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

1255343040 is a wasteful number, since it uses less digits than its factorization.

1255343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1255343040 is about 35430.8204816089. The cubic root of 1255343040 is about 1078.7499941145.

Adding to 1255343040 its reverse (403435521), we get a palindrome (1658778561).

The spelling of 1255343040 in words is "one billion, two hundred fifty-five million, three hundred forty-three thousand, forty".