416187874560 has 144 divisors (see below), whose sum is σ = 1407388481856. Its totient is φ = 104454979584.

The previous prime is 416187874523. The next prime is 416187874561. The reversal of 416187874560 is 65478781614.

It is a self number, because there is not a number n which added to its sum of digits gives 416187874560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416187874561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3122434 + ... + 3252993.

It is an arithmetic number, because the mean of its divisors is an integer number (9773531124).

Almost surely, 2^416187874560 is an apocalyptic number.

416187874560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416187874560 is an abundant number, since it is smaller than the sum of its proper divisors (991200607296).

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

416187874560 is a wasteful number, since it uses less digits than its factorization.

416187874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375468 (or 6375454 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 416187874560 in words is "four hundred sixteen billion, one hundred eighty-seven million, eight hundred seventy-four thousand, five hundred sixty".