414131114012400 has 180 divisors, whose sum is σ = 1439177020789560. Its totient is φ = 110279201472000.

The previous prime is 414131114012351. The next prime is 414131114012453. The reversal of 414131114012400 is 4210411131414.

414131114012400 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 1 + 11 + 401 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78573426 + ... + 83678225.

Almost surely, 2^{414131114012400} is an apocalyptic number.

414131114012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414131114012400 is an abundant number, since it is smaller than the sum of its proper divisors (1025045906777160).

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

414131114012400 is a wasteful number, since it uses less digits than its factorization.

414131114012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162252384 (or 162252370 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 414131114012400 its reverse (4210411131414), we get a palindrome (418341525143814).

The spelling of 414131114012400 in words is "four hundred fourteen trillion, one hundred thirty-one billion, one hundred fourteen million, twelve thousand, four hundred".