131414401240400 has 120 divisors (see below), whose sum is σ = 315879123775488. Its totient is φ = 52539791040000.

The previous prime is 131414401240373. The next prime is 131414401240411. The reversal of 131414401240400 is 4042104414131.

It is a happy number.

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, 9584589545 + ... + 9584603255.

Almost surely, 2^{131414401240400} is an apocalyptic number.

131414401240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414401240400 is an abundant number, since it is smaller than the sum of its proper divisors (184464722535088).

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

131414401240400 is a wasteful number, since it uses less digits than its factorization.

131414401240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23821 (or 23810 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 131414401240400 its reverse (4042104414131), we get a palindrome (135456505654531).

The spelling of 131414401240400 in words is "one hundred thirty-one trillion, four hundred fourteen billion, four hundred one million, two hundred forty thousand, four hundred".