4042415322972 has 144 divisors (see below), whose sum is σ = 11420354985312. Its totient is φ = 1242900910080.

The previous prime is 4042415322949. The next prime is 4042415323007. The reversal of 4042415322972 is 2792235142404.

4042415322972 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 41 + 532 + 2 + 9 + 72 = 666.

It is a super-2 number, since 2×4042415322972² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17080068 + ... + 17315124.

Almost surely, 2^{4042415322972} 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 4042415322972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710177492656).

4042415322972 is an abundant number, since it is smaller than the sum of its proper divisors (7377939662340).

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

4042415322972 is a wasteful number, since it uses less digits than its factorization.

4042415322972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236450 (or 236436 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4042415322972 in words is "four trillion, forty-two billion, four hundred fifteen million, three hundred twenty-two thousand, nine hundred seventy-two".