414909957952 has 224 divisors, whose sum is σ = 1047396188160. Its totient is φ = 159045120000.

The previous prime is 414909957893. The next prime is 414909957953. The reversal of 414909957952 is 259759909414.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414909957953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10799577 + ... + 10837927.

It is an arithmetic number, because the mean of its divisors is an integer number (4675875840).

Almost surely, 2^414909957952 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 414909957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523698094080).

414909957952 is an abundant number, since it is smaller than the sum of its proper divisors (632486230208).

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

414909957952 is a wasteful number, since it uses less digits than its factorization.

414909957952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38461 (or 38451 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 64.

The spelling of 414909957952 in words is "four hundred fourteen billion, nine hundred nine million, nine hundred fifty-seven thousand, nine hundred fifty-two".