413482137600 has 576 divisors, whose sum is σ = 1567894648320. Its totient is φ = 94165401600.

The previous prime is 413482137599. The next prime is 413482137619. The reversal of 413482137600 is 6731284314.

It is a super-2 number, since 2×413482137600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401049085 + ... + 401050115.

It is an arithmetic number, because the mean of its divisors is an integer number (2722039320).

Almost surely, 2^413482137600 is an apocalyptic number.

413482137600 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 413482137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783947324160).

413482137600 is an abundant number, since it is smaller than the sum of its proper divisors (1154412510720).

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

413482137600 is a wasteful number, since it uses less digits than its factorization.

413482137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 413482137600 in words is "four hundred thirteen billion, four hundred eighty-two million, one hundred thirty-seven thousand, six hundred".