4292405472264 has 256 divisors, whose sum is σ = 13473564303360. Its totient is φ = 1109386368000.

The previous prime is 4292405472221. The next prime is 4292405472281. The reversal of 4292405472264 is 4622745042924.

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, 36044259 + ... + 36163149.

It is an arithmetic number, because the mean of its divisors is an integer number (52631110560).

Almost surely, 2^{4292405472264} 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 4292405472264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736782151680).

4292405472264 is an abundant number, since it is smaller than the sum of its proper divisors (9181158831096).

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

4292405472264 is a wasteful number, since it uses less digits than its factorization.

4292405472264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119252 (or 119248 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 4292405472264 in words is "four trillion, two hundred ninety-two billion, four hundred five million, four hundred seventy-two thousand, two hundred sixty-four".