413540332000000 has 252 divisors, whose sum is σ = 1041285704184880. Its totient is φ = 163898380800000.

The previous prime is 413540331999989. The next prime is 413540332000063. The reversal of 413540332000000 is 233045314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 435525757 + ... + 436474243.

Almost surely, 2^{413540332000000} is an apocalyptic number.

413540332000000 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 413540332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520642852092440).

413540332000000 is an abundant number, since it is smaller than the sum of its proper divisors (627745372184880).

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

413540332000000 is an frugal number, since it uses more digits than its factorization.

413540332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948642 (or 948603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 413540332000000 its reverse (233045314), we get a palindrome (413540565045314).

The spelling of 413540332000000 in words is "four hundred thirteen trillion, five hundred forty billion, three hundred thirty-two million", and thus it is an aban number.