416423257920 has 1344 divisors, whose sum is σ = 1665197015040. Its totient is φ = 94887936000.

The previous prime is 416423257891. The next prime is 416423257997. The reversal of 416423257920 is 29752324614.

416423257920 is a `hidden beast` number, since 4 + 1 + 6 + 42 + 32 + 579 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2757769845 + ... + 2757769995.

Almost surely, 2^416423257920 is an apocalyptic number.

416423257920 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 416423257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832598507520).

416423257920 is an abundant number, since it is smaller than the sum of its proper divisors (1248773757120).

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

416423257920 is a wasteful number, since it uses less digits than its factorization.

416423257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 416423257920 in words is "four hundred sixteen billion, four hundred twenty-three million, two hundred fifty-seven thousand, nine hundred twenty".