1255124640 has 384 divisors, whose sum is σ = 5103544320. Its totient is φ = 251596800.

The previous prime is 1255124639. The next prime is 1255124653. The reversal of 1255124640 is 464215521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1255124598 and 1255124607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071255 + ... + 1072425.

It is an arithmetic number, because the mean of its divisors is an integer number (13290480).

Almost surely, 2^1255124640 is an apocalyptic number.

1255124640 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 1255124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551772160).

1255124640 is an abundant number, since it is smaller than the sum of its proper divisors (3848419680).

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

1255124640 is a wasteful number, since it uses less digits than its factorization.

1255124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1255124640 is about 35427.7382851347. The cubic root of 1255124640 is about 1078.6874314907.

The spelling of 1255124640 in words is "one billion, two hundred fifty-five million, one hundred twenty-four thousand, six hundred forty".