415816377120 has 1440 divisors, whose sum is σ = 1659529783296. Its totient is φ = 97865625600.

The previous prime is 415816377103. The next prime is 415816377157. The reversal of 415816377120 is 21773618514.

415816377120 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 1 + 637 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6816661890 + ... + 6816661950.

Almost surely, 2^415816377120 is an apocalyptic number.

415816377120 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 415816377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829764891648).

415816377120 is an abundant number, since it is smaller than the sum of its proper divisors (1243713406176).

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

415816377120 is a wasteful number, since it uses less digits than its factorization.

415816377120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 415816377120 in words is "four hundred fifteen billion, eight hundred sixteen million, three hundred seventy-seven thousand, one hundred twenty".