414568142929920 has 2176 divisors, whose sum is σ = 1682916408115200. Its totient is φ = 84998979846144.

The previous prime is 414568142929807. The next prime is 414568142929933. The reversal of 414568142929920 is 29929241865414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200954018809 + ... + 200954020871.

Almost surely, 2^{414568142929920} is an apocalyptic number.

414568142929920 is a gapful number since it is divisible by the number (40) 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 414568142929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841458204057600).

414568142929920 is an abundant number, since it is smaller than the sum of its proper divisors (1268348265185280).

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

414568142929920 is a wasteful number, since it uses less digits than its factorization.

414568142929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 414568142929920 in words is "four hundred fourteen trillion, five hundred sixty-eight billion, one hundred forty-two million, nine hundred twenty-nine thousand, nine hundred twenty".