413850396960 has 3840 divisors, whose sum is σ = 2183480893440. Its totient is φ = 70946979840.

The previous prime is 413850396943. The next prime is 413850397003. The reversal of 413850396960 is 69693058314.

413850396960 is a `hidden beast` number, since 4 + 13 + 8 + 503 + 9 + 69 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 413850396897 and 413850396906.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5669183484 + ... + 5669183556.

It is an arithmetic number, because the mean of its divisors is an integer number (568614816).

Almost surely, 2^413850396960 is an apocalyptic number.

413850396960 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 413850396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091740446720).

413850396960 is an abundant number, since it is smaller than the sum of its proper divisors (1769630496480).

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

413850396960 is a wasteful number, since it uses less digits than its factorization.

413850396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 413850396960 in words is "four hundred thirteen billion, eight hundred fifty million, three hundred ninety-six thousand, nine hundred sixty".