4815431292672 has 2592 divisors, whose sum is σ = 20122441543680. Its totient is φ = 1110188851200.

The previous prime is 4815431292667. The next prime is 4815431292701. The reversal of 4815431292672 is 2762921345184.

It is a happy number.

4815431292672 is a `hidden beast` number, since 4 + 8 + 1 + 543 + 1 + 2 + 9 + 26 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30671536818 + ... + 30671536974.

Almost surely, 2^{4815431292672} is an apocalyptic number.

4815431292672 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 4815431292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061220771840).

4815431292672 is an abundant number, since it is smaller than the sum of its proper divisors (15307010251008).

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

4815431292672 is a wasteful number, since it uses less digits than its factorization.

4815431292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 224 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 4815431292672 in words is "four trillion, eight hundred fifteen billion, four hundred thirty-one million, two hundred ninety-two thousand, six hundred seventy-two".