416573894960 has 80 divisors (see below), whose sum is σ = 1023300799200. Its totient is φ = 157272588288.

The previous prime is 416573894953. The next prime is 416573894993. The reversal of 416573894960 is 69498375614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×416573894960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416573894893 and 416573894902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100529 + ... + 918288.

It is an arithmetic number, because the mean of its divisors is an integer number (12791259990).

Almost surely, 2^416573894960 is an apocalyptic number.

416573894960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416573894960 is an abundant number, since it is smaller than the sum of its proper divisors (606726904240).

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

416573894960 is a wasteful number, since it uses less digits than its factorization.

416573894960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019118 (or 1019112 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 416573894960 in words is "four hundred sixteen billion, five hundred seventy-three million, eight hundred ninety-four thousand, nine hundred sixty".