4306122592002 has 768 divisors, whose sum is σ = 13073965056000. Its totient is φ = 1035672220800.

The previous prime is 4306122591923. The next prime is 4306122592027. The reversal of 4306122592002 is 2002952216034.

4306122592002 is a `hidden beast` number, since 4 + 3 + 0 + 61 + 2 + 2 + 592 + 0 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8842140603 + ... + 8842141089.

It is an arithmetic number, because the mean of its divisors is an integer number (17023392000).

Almost surely, 2^{4306122592002} is an apocalyptic number.

4306122592002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4306122592002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536982528000).

4306122592002 is an abundant number, since it is smaller than the sum of its proper divisors (8767842463998).

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

4306122592002 is a wasteful number, since it uses less digits than its factorization.

4306122592002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4306122592002 in words is "four trillion, three hundred six billion, one hundred twenty-two million, five hundred ninety-two thousand, two".