407926001664 has 416 divisors, whose sum is σ = 1252302986880. Its totient is φ = 131117875200.

The previous prime is 407926001611. The next prime is 407926001687. The reversal of 407926001664 is 466100629704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536039044 + ... + 536039804.

Almost surely, 2^407926001664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407926001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626151493440).

407926001664 is an abundant number, since it is smaller than the sum of its proper divisors (844376985216).

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

407926001664 is a wasteful number, since it uses less digits than its factorization.

407926001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 407926001664 in words is "four hundred seven billion, nine hundred twenty-six million, one thousand, six hundred sixty-four".