414126087900672 has 640 divisors, whose sum is σ = 1337125106515968. Its totient is φ = 111395450880000.

The previous prime is 414126087900653. The next prime is 414126087900737. The reversal of 414126087900672 is 276009780621414.

It is a super-2 number, since 2×414126087900672² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3597378858 + ... + 3597493974.

Almost surely, 2^{414126087900672} is an apocalyptic number.

414126087900672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414126087900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668562553257984).

414126087900672 is an abundant number, since it is smaller than the sum of its proper divisors (922999018615296).

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

414126087900672 is a wasteful number, since it uses less digits than its factorization.

414126087900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115470 (or 115454 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 414126087900672 in words is "four hundred fourteen trillion, one hundred twenty-six billion, eighty-seven million, nine hundred thousand, six hundred seventy-two".