414090742912 has 384 divisors, whose sum is σ = 1111153075200. Its totient is φ = 151669647360.

The previous prime is 414090742909. The next prime is 414090742943. The reversal of 414090742912 is 219247090414.

It is a super-2 number, since 2×414090742912² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93619933 + ... + 93624355.

It is an arithmetic number, because the mean of its divisors is an integer number (2893627800).

Almost surely, 2^414090742912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414090742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555576537600).

414090742912 is an abundant number, since it is smaller than the sum of its proper divisors (697062332288).

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

414090742912 is a wasteful number, since it uses less digits than its factorization.

414090742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 414090742912 in words is "four hundred fourteen billion, ninety million, seven hundred forty-two thousand, nine hundred twelve".