414000400153232 has 20 divisors (see below), whose sum is σ = 849309644432556. Its totient is φ = 194823717719040.

The previous prime is 414000400153229. The next prime is 414000400153303. The reversal of 414000400153232 is 232351004000414.

It can be written as a sum of positive squares in 2 ways, for example, as 361461619476736 + 52538780676496 = 19012144^2 + 7248364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414000400153195 and 414000400153204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 761030147069 + ... + 761030147612.

Almost surely, 2^{414000400153232} is an apocalyptic number.

It is an amenable number.

414000400153232 is an abundant number, since it is smaller than the sum of its proper divisors (435309244279324).

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

414000400153232 is a wasteful number, since it uses less digits than its factorization.

414000400153232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522060294706 (or 1522060294700 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 414000400153232 its reverse (232351004000414), we get a palindrome (646351404153646).

The spelling of 414000400153232 in words is "four hundred fourteen trillion, four hundred million, one hundred fifty-three thousand, two hundred thirty-two".