413311300004400 has 240 divisors, whose sum is σ = 1535696765854464. Its totient is φ = 93061136931840.

The previous prime is 413311300004371. The next prime is 413311300004419. The reversal of 413311300004400 is 4400003113314.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×413311300004400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366629187 + ... + 367754786.

Almost surely, 2^{413311300004400} is an apocalyptic number.

413311300004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413311300004400 is an abundant number, since it is smaller than the sum of its proper divisors (1122385465850064).

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

413311300004400 is a wasteful number, since it uses less digits than its factorization.

413311300004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734384068 (or 734384057 counting only the distinct ones).

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

Adding to 413311300004400 its reverse (4400003113314), we get a palindrome (417711303117714).

The spelling of 413311300004400 in words is "four hundred thirteen trillion, three hundred eleven billion, three hundred million, four thousand, four hundred".