413032273920 has 432 divisors, whose sum is σ = 1665227425680. Its totient is φ = 94406344704.

The previous prime is 413032273817. The next prime is 413032273933. The reversal of 413032273920 is 29372230314.

413032273920 is a `hidden beast` number, since 41 + 3 + 0 + 3 + 227 + 392 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4470109 + ... + 4561571.

It is an arithmetic number, because the mean of its divisors is an integer number (3854693115).

Almost surely, 2^413032273920 is an apocalyptic number.

413032273920 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 413032273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832613712840).

413032273920 is an abundant number, since it is smaller than the sum of its proper divisors (1252195151760).

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

413032273920 is a wasteful number, since it uses less digits than its factorization.

413032273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91510 (or 91480 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 413032273920 in words is "four hundred thirteen billion, thirty-two million, two hundred seventy-three thousand, nine hundred twenty".