4056127004160 has 1280 divisors, whose sum is σ = 18908732620800. Its totient is φ = 798452121600.

The previous prime is 4056127004117. The next prime is 4056127004173. The reversal of 4056127004160 is 614007216504.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 101102505 + ... + 101142615.

It is an arithmetic number, because the mean of its divisors is an integer number (14772447360).

Almost surely, 2^{4056127004160} is an apocalyptic number.

4056127004160 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 4056127004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454366310400).

4056127004160 is an abundant number, since it is smaller than the sum of its proper divisors (14852605616640).

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

4056127004160 is a wasteful number, since it uses less digits than its factorization.

4056127004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40180 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 4056127004160 in words is "four trillion, fifty-six billion, one hundred twenty-seven million, four thousand, one hundred sixty".