413301402031200 has 144 divisors (see below), whose sum is σ = 1350530680660560. Its totient is φ = 109784859934720.

The previous prime is 413301402031183. The next prime is 413301402031211. The reversal of 413301402031200 is 2130204103314.

It is a happy number.

It is a super-3 number, since 3×413301402031200³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334420005 + ... + 335653604.

It is an arithmetic number, because the mean of its divisors is an integer number (9378685282365).

Almost surely, 2^{413301402031200} is an apocalyptic number.

413301402031200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413301402031200 is an abundant number, since it is smaller than the sum of its proper divisors (937229278629360).

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

413301402031200 is a wasteful number, since it uses less digits than its factorization.

413301402031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670073889 (or 670073876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 413301402031200 its reverse (2130204103314), we get a palindrome (415431606134514).

The spelling of 413301402031200 in words is "four hundred thirteen trillion, three hundred one billion, four hundred two million, thirty-one thousand, two hundred".