407172864000 has 1536 divisors, whose sum is σ = 1677899059200. Its totient is φ = 85642444800.

The previous prime is 407172863969. The next prime is 407172864001. The reversal of 407172864000 is 468271704.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 407172864000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407172864001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4574975956 + ... + 4574976044.

It is an arithmetic number, because the mean of its divisors is an integer number (1092382200).

Almost surely, 2^407172864000 is an apocalyptic number.

407172864000 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 407172864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838949529600).

407172864000 is an abundant number, since it is smaller than the sum of its proper divisors (1270726195200).

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

407172864000 is a wasteful number, since it uses less digits than its factorization.

407172864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 407172864000 in words is "four hundred seven billion, one hundred seventy-two million, eight hundred sixty-four thousand".