413437545840 has 160 divisors (see below), whose sum is σ = 1405983225600. Its totient is φ = 99667240960.

The previous prime is 413437545799. The next prime is 413437545853. The reversal of 413437545840 is 48545734314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 413437545840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35116 + ... + 910004.

It is an arithmetic number, because the mean of its divisors is an integer number (8787395160).

Almost surely, 2^413437545840 is an apocalyptic number.

413437545840 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 413437545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702991612800).

413437545840 is an abundant number, since it is smaller than the sum of its proper divisors (992545679760).

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

413437545840 is a wasteful number, since it uses less digits than its factorization.

413437545840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875095 (or 875089 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 413437545840 in words is "four hundred thirteen billion, four hundred thirty-seven million, five hundred forty-five thousand, eight hundred forty".