416557149120 has 672 divisors, whose sum is σ = 1772590003200. Its totient is φ = 90197121024.

The previous prime is 416557149097. The next prime is 416557149157. The reversal of 416557149120 is 21941755614.

416557149120 is a `hidden beast` number, since 4 + 1 + 6 + 557 + 1 + 4 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 21823741 + ... + 21842819.

Almost surely, 2^416557149120 is an apocalyptic number.

416557149120 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 416557149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886295001600).

416557149120 is an abundant number, since it is smaller than the sum of its proper divisors (1356032854080).

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

416557149120 is a wasteful number, since it uses less digits than its factorization.

416557149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19150 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 416557149120 in words is "four hundred sixteen billion, five hundred fifty-seven million, one hundred forty-nine thousand, one hundred twenty".