4056766117600 has 72 divisors (see below), whose sum is σ = 11318377483728. Its totient is φ = 1390891238400.

The previous prime is 4056766117589. The next prime is 4056766117601. The reversal of 4056766117600 is 67116676504.

It is a super-3 number, since 3×4056766117600³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056766117601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 362205661 + ... + 362216860.

It is an arithmetic number, because the mean of its divisors is an integer number (157199687274).

Almost surely, 2^{4056766117600} is an apocalyptic number.

4056766117600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4056766117600 is an abundant number, since it is smaller than the sum of its proper divisors (7261611366128).

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

4056766117600 is a wasteful number, since it uses less digits than its factorization.

4056766117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724422548 (or 724422535 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 4056766117600 in words is "four trillion, fifty-six billion, seven hundred sixty-six million, one hundred seventeen thousand, six hundred".