4056492441600 has 960 divisors, whose sum is σ = 15188836451580. Its totient is φ = 1070176665600.

The previous prime is 4056492441581. The next prime is 4056492441607. The reversal of 4056492441600 is 61442946504.

4056492441600 is a `hidden beast` number, since 4 + 0 + 5 + 64 + 92 + 441 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 279595597824 + 3776896843776 = 528768^2 + 1943424^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (4056492441607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7498137330 + ... + 7498137870.

Almost surely, 2^{4056492441600} is an apocalyptic number.

4056492441600 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 4056492441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594418225790).

4056492441600 is an abundant number, since it is smaller than the sum of its proper divisors (11132344009980).

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

4056492441600 is an equidigital number, since it uses as much as digits as its factorization.

4056492441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4056492441600 in words is "four trillion, fifty-six billion, four hundred ninety-two million, four hundred forty-one thousand, six hundred".