1258256039040 has 3072 divisors, whose sum is σ = 6399679104000. Its totient is φ = 226563194880.

The previous prime is 1258256038999. The next prime is 1258256039059. The reversal of 1258256039040 is 409306528521.

1258256039040 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 256 + 0 + 390 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3234591166 + ... + 3234591554.

It is an arithmetic number, because the mean of its divisors is an integer number (2083228875).

Almost surely, 2^{1258256039040} is an apocalyptic number.

1258256039040 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 1258256039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199839552000).

1258256039040 is an abundant number, since it is smaller than the sum of its proper divisors (5141423064960).

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

1258256039040 is a wasteful number, since it uses less digits than its factorization.

1258256039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1258256039040 in words is "one trillion, two hundred fifty-eight billion, two hundred fifty-six million, thirty-nine thousand, forty".