256439863440000 has 2240 divisors, whose sum is σ = 1025955962000640. Its totient is φ = 63630572544000.

The previous prime is 256439863439993. The next prime is 256439863440031. The reversal of 256439863440000 is 44368934652.

256439863440000 is a `hidden beast` number, since 2 + 56 + 4 + 3 + 98 + 63 + 440 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×256439863440000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 49630317417 + ... + 49630322583.

Almost surely, 2^{256439863440000} is an apocalyptic number.

256439863440000 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 256439863440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512977981000320).

256439863440000 is an abundant number, since it is smaller than the sum of its proper divisors (769516098560640).

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

256439863440000 is an frugal number, since it uses more digits than its factorization.

256439863440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 256439863440000 in words is "two hundred fifty-six trillion, four hundred thirty-nine billion, eight hundred sixty-three million, four hundred forty thousand".