414788018034432 has 576 divisors, whose sum is σ = 1408293607440384. Its totient is φ = 105644919029760.

The previous prime is 414788018034427. The next prime is 414788018034469. The reversal of 414788018034432 is 234430810887414.

It is a happy number.

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, 131600643 + ... + 134715645.

It is an arithmetic number, because the mean of its divisors is an integer number (2444954179584).

Almost surely, 2^{414788018034432} is an apocalyptic number.

414788018034432 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 414788018034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704146803720192).

414788018034432 is an abundant number, since it is smaller than the sum of its proper divisors (993505589405952).

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

414788018034432 is a wasteful number, since it uses less digits than its factorization.

414788018034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115124 (or 3115110 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 414788018034432 in words is "four hundred fourteen trillion, seven hundred eighty-eight billion, eighteen million, thirty-four thousand, four hundred thirty-two".