413538418020 has 384 divisors, whose sum is σ = 1449624379392. Its totient is φ = 85764096000.

The previous prime is 413538417959. The next prime is 413538418061. The reversal of 413538418020 is 20814835314.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 413538418020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79970035 + ... + 79975205.

It is an arithmetic number, because the mean of its divisors is an integer number (3775063488).

Almost surely, 2^413538418020 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 413538418020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724812189696).

413538418020 is an abundant number, since it is smaller than the sum of its proper divisors (1036085961372).

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

413538418020 is a wasteful number, since it uses less digits than its factorization.

413538418020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 413538418020 in words is "four hundred thirteen billion, five hundred thirty-eight million, four hundred eighteen thousand, twenty".