414140200136 has 64 divisors (see below), whose sum is σ = 840546806400. Its totient is φ = 190159538688.

The previous prime is 414140200129. The next prime is 414140200151. The reversal of 414140200136 is 631002041414.

It is a happy number.

It is a super-2 number, since 2×414140200136² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36421460 + ... + 36432828.

It is an arithmetic number, because the mean of its divisors is an integer number (13133543850).

Almost surely, 2^414140200136 is an apocalyptic number.

It is an amenable number.

414140200136 is an abundant number, since it is smaller than the sum of its proper divisors (426406606264).

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

414140200136 is a wasteful number, since it uses less digits than its factorization.

414140200136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13158 (or 13154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 414140200136 in words is "four hundred fourteen billion, one hundred forty million, two hundred thousand, one hundred thirty-six".