4056248851200 has 2592 divisors, whose sum is σ = 19304983152000. Its totient is φ = 804614307840.

The previous prime is 4056248851181. The next prime is 4056248851223. The reversal of 4056248851200 is 21588426504.

4056248851200 is a `hidden beast` number, since 4 + 0 + 5 + 624 + 8 + 8 + 5 + 12 + 0 + 0 = 666.

It is a super-2 number, since 2×4056248851200² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 4366252336 + ... + 4366253264.

Almost surely, 2^{4056248851200} is an apocalyptic number.

4056248851200 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 4056248851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652491576000).

4056248851200 is an abundant number, since it is smaller than the sum of its proper divisors (15248734300800).

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

4056248851200 is a wasteful number, since it uses less digits than its factorization.

4056248851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 4056248851200 in words is "four trillion, fifty-six billion, two hundred forty-eight million, eight hundred fifty-one thousand, two hundred".