407995920000 has 1280 divisors, whose sum is σ = 1638105638400. Its totient is φ = 99532800000.

The previous prime is 407995919953. The next prime is 407995920001. The reversal of 407995920000 is 29599704.

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

It is not an unprimeable number, because it can be changed into a prime (407995920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1505519865 + ... + 1505520135.

It is an arithmetic number, because the mean of its divisors is an integer number (1279770030).

Almost surely, 2^407995920000 is an apocalyptic number.

407995920000 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 407995920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819052819200).

407995920000 is an abundant number, since it is smaller than the sum of its proper divisors (1230109718400).

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

407995920000 is a wasteful number, since it uses less digits than its factorization.

407995920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 407995920000 in words is "four hundred seven billion, nine hundred ninety-five million, nine hundred twenty thousand".