256733167199040 has 336 divisors, whose sum is σ = 1009237031112960. Its totient is φ = 58680054005760.

The previous prime is 256733167198999. The next prime is 256733167199101. The reversal of 256733167199040 is 40991761337652.

It is a happy number.

256733167199040 is a `hidden beast` number, since 2 + 56 + 7 + 331 + 67 + 199 + 0 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717335656 + ... + 717693464.

Almost surely, 2^{256733167199040} is an apocalyptic number.

256733167199040 is a gapful number since it is divisible by the number (20) 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 256733167199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504618515556480).

256733167199040 is an abundant number, since it is smaller than the sum of its proper divisors (752503863913920).

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

256733167199040 is a wasteful number, since it uses less digits than its factorization.

256733167199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393430 (or 393417 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 256733167199040 in words is "two hundred fifty-six trillion, seven hundred thirty-three billion, one hundred sixty-seven million, one hundred ninety-nine thousand, forty".