413340031872 has 192 divisors, whose sum is σ = 1233131150160. Its totient is φ = 132798750720.

The previous prime is 413340031829. The next prime is 413340031903. The reversal of 413340031872 is 278130043314.

413340031872 is a `hidden beast` number, since 4 + 1 + 334 + 0 + 0 + 318 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3867538 + ... + 3972974.

Almost surely, 2^413340031872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413340031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616565575080).

413340031872 is an abundant number, since it is smaller than the sum of its proper divisors (819791118288).

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

413340031872 is a wasteful number, since it uses less digits than its factorization.

413340031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105581 (or 105566 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 413340031872 in words is "four hundred thirteen billion, three hundred forty million, thirty-one thousand, eight hundred seventy-two".