414331324231440 has 160 divisors (see below), whose sum is σ = 1601363663594496. Its totient is φ = 86094820615680.

The previous prime is 414331324231411. The next prime is 414331324231453. The reversal of 414331324231440 is 44132423133414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11210244622 + ... + 11210281581.

Almost surely, 2^{414331324231440} is an apocalyptic number.

414331324231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414331324231440 is an abundant number, since it is smaller than the sum of its proper divisors (1187032339363056).

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

414331324231440 is a wasteful number, since it uses less digits than its factorization.

414331324231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22420526237 (or 22420526231 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 414331324231440 its reverse (44132423133414), we get a palindrome (458463747364854).

The spelling of 414331324231440 in words is "four hundred fourteen trillion, three hundred thirty-one billion, three hundred twenty-four million, two hundred thirty-one thousand, four hundred forty".