414113142400 has 48 divisors (see below), whose sum is σ = 1022988879990. Its totient is φ = 165645255680.

The previous prime is 414113142349. The next prime is 414113142449. The reversal of 414113142400 is 4241311414.

It can be written as a sum of positive squares in 3 ways, for example, as 278353318464 + 135759823936 = 527592^2 + 368456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64701979 + ... + 64708378.

Almost surely, 2^414113142400 is an apocalyptic number.

414113142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414113142400 is an abundant number, since it is smaller than the sum of its proper divisors (608875737590).

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

414113142400 is a wasteful number, since it uses less digits than its factorization.

414113142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129410381 (or 129410364 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414113142400 its reverse (4241311414), we get a palindrome (418354453814).

The spelling of 414113142400 in words is "four hundred fourteen billion, one hundred thirteen million, one hundred forty-two thousand, four hundred".