4056164420000 has 720 divisors, whose sum is σ = 12627300470400. Its totient is φ = 1254992640000.

The previous prime is 4056164419903. The next prime is 4056164420017. The reversal of 4056164420000 is 244616504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2524059197 + ... + 2524060803.

It is an arithmetic number, because the mean of its divisors is an integer number (17537917320).

Almost surely, 2^{4056164420000} is an apocalyptic number.

4056164420000 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 4056164420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313650235200).

4056164420000 is an abundant number, since it is smaller than the sum of its proper divisors (8571136050400).

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

4056164420000 is a wasteful number, since it uses less digits than its factorization.

4056164420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 4056164420000 in words is "four trillion, fifty-six billion, one hundred sixty-four million, four hundred twenty thousand".