4000807434960 has 240 divisors, whose sum is σ = 15356570211840. Its totient is φ = 914405345280.

The previous prime is 4000807434893. The next prime is 4000807434977. The reversal of 4000807434960 is 694347080004.

4000807434960 is a `hidden beast` number, since 40 + 0 + 0 + 80 + 7 + 43 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139245876 + ... + 139274604.

It is an arithmetic number, because the mean of its divisors is an integer number (63985709216).

Almost surely, 2^{4000807434960} is an apocalyptic number.

4000807434960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000807434960 is an abundant number, since it is smaller than the sum of its proper divisors (11355762776880).

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

4000807434960 is a wasteful number, since it uses less digits than its factorization.

4000807434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56386 (or 56377 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4000807434960 in words is "four trillion, eight hundred seven million, four hundred thirty-four thousand, nine hundred sixty".