407958322464 has 1728 divisors, whose sum is σ = 1656387532800. Its totient is φ = 92734709760.

The previous prime is 407958322423. The next prime is 407958322609. The reversal of 407958322464 is 464223859704.

It is a happy number.

407958322464 is a `hidden beast` number, since 40 + 79 + 58 + 3 + 22 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 407958322464.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 4583801332 + ... + 4583801420.

It is an arithmetic number, because the mean of its divisors is an integer number (958557600).

Almost surely, 2^407958322464 is an apocalyptic number.

407958322464 is a gapful number since it is divisible by the number (44) 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 407958322464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828193766400).

407958322464 is an abundant number, since it is smaller than the sum of its proper divisors (1248429210336).

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

407958322464 is a wasteful number, since it uses less digits than its factorization.

407958322464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 407958322464 in words is "four hundred seven billion, nine hundred fifty-eight million, three hundred twenty-two thousand, four hundred sixty-four".