416315900952 has 192 divisors, whose sum is σ = 1400174131200. Its totient is φ = 109051868160.

The previous prime is 416315900939. The next prime is 416315900963. The reversal of 416315900952 is 259009513614.

416315900952 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 1 + 590 + 0 + 9 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 416315900898 and 416315900907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404353 + ... + 998064.

It is an arithmetic number, because the mean of its divisors is an integer number (7292573600).

Almost surely, 2^416315900952 is an apocalyptic number.

416315900952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

416315900952 is an abundant number, since it is smaller than the sum of its proper divisors (983858230248).

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

416315900952 is a wasteful number, since it uses less digits than its factorization.

416315900952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402486 (or 1402479 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 416315900952 in words is "four hundred sixteen billion, three hundred fifteen million, nine hundred thousand, nine hundred fifty-two".