413576997120 has 1152 divisors, whose sum is σ = 1730695680000. Its totient is φ = 93477888000.

The previous prime is 413576997107. The next prime is 413576997131. The reversal of 413576997120 is 21799675314.

413576997120 is a `hidden beast` number, since 41 + 3 + 576 + 9 + 9 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1647716995 + ... + 1647717245.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340000).

Almost surely, 2^413576997120 is an apocalyptic number.

413576997120 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 413576997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865347840000).

413576997120 is an abundant number, since it is smaller than the sum of its proper divisors (1317118682880).

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

413576997120 is a wasteful number, since it uses less digits than its factorization.

413576997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 413576997120 in words is "four hundred thirteen billion, five hundred seventy-six million, nine hundred ninety-seven thousand, one hundred twenty".