407640808000 has 224 divisors, whose sum is σ = 1035544393728. Its totient is φ = 158895360000.

The previous prime is 407640807997. The next prime is 407640808021. The reversal of 407640808000 is 808046704.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64020817 + ... + 64027183.

Almost surely, 2^407640808000 is an apocalyptic number.

407640808000 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 407640808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517772196864).

407640808000 is an abundant number, since it is smaller than the sum of its proper divisors (627903585728).

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

407640808000 is a wasteful number, since it uses less digits than its factorization.

407640808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 407640808000 in words is "four hundred seven billion, six hundred forty million, eight hundred eight thousand".