413792807040 has 512 divisors, whose sum is σ = 1494538272000. Its totient is φ = 108172247040.

The previous prime is 413792807003. The next prime is 413792807059. The reversal of 413792807040 is 40708297314.

413792807040 is a `hidden beast` number, since 413 + 7 + 92 + 80 + 70 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 481714131 + ... + 481714989.

Almost surely, 2^413792807040 is an apocalyptic number.

413792807040 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 413792807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747269136000).

413792807040 is an abundant number, since it is smaller than the sum of its proper divisors (1080745464960).

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

413792807040 is a wasteful number, since it uses less digits than its factorization.

413792807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 413792807040 in words is "four hundred thirteen billion, seven hundred ninety-two million, eight hundred seven thousand, forty".