4400256960000 has 3000 divisors, whose sum is σ = 19132274799792. Its totient is φ = 1003622400000.

The previous prime is 4400256959981. The next prime is 4400256960013. The reversal of 4400256960000 is 696520044.

4400256960000 is a `hidden beast` number, since 4 + 40 + 0 + 2 + 5 + 6 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

It is a super-2 number, since 2×4400256960000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 72135359970 + ... + 72135360030.

Almost surely, 2^{4400256960000} is an apocalyptic number.

4400256960000 is a gapful number since it is divisible by the number (40) 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 4400256960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566137399896).

4400256960000 is an abundant number, since it is smaller than the sum of its proper divisors (14732017839792).

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

4400256960000 is an equidigital number, since it uses as much as digits as its factorization.

4400256960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4400256960000 in words is "four trillion, four hundred billion, two hundred fifty-six million, nine hundred sixty thousand".