4056104164560 has 320 divisors, whose sum is σ = 14889214029312. Its totient is φ = 894068195328.

The previous prime is 4056104164543. The next prime is 4056104164573. The reversal of 4056104164560 is 654614016504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6735352 + ... + 7312808.

Almost surely, 2^{4056104164560} is an apocalyptic number.

4056104164560 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 4056104164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444607014656).

4056104164560 is an abundant number, since it is smaller than the sum of its proper divisors (10833109864752).

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

4056104164560 is a wasteful number, since it uses less digits than its factorization.

4056104164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577630 (or 577624 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 4056104164560 in words is "four trillion, fifty-six billion, one hundred four million, one hundred sixty-four thousand, five hundred sixty".