413000131400 has 48 divisors (see below), whose sum is σ = 962326667940. Its totient is φ = 164838528000.

The previous prime is 413000131333. The next prime is 413000131421. The reversal of 413000131400 is 4131000314.

It can be written as a sum of positive squares in 6 ways, for example, as 358961549956 + 54038581444 = 599134^2 + 232462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2167901 + ... + 2350700.

Almost surely, 2^413000131400 is an apocalyptic number.

413000131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413000131400 is an abundant number, since it is smaller than the sum of its proper divisors (549326536540).

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

413000131400 is a wasteful number, since it uses less digits than its factorization.

413000131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519074 (or 4519065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 413000131400 its reverse (4131000314), we get a palindrome (417131131714).

The spelling of 413000131400 in words is "four hundred thirteen billion, one hundred thirty-one thousand, four hundred".