4172990324832 has 480 divisors, whose sum is σ = 15107493139200. Its totient is φ = 1103259128832.

The previous prime is 4172990324821. The next prime is 4172990324843. The reversal of 4172990324832 is 2384230992714.

It is a happy number.

4172990324832 is a `hidden beast` number, since 4 + 1 + 72 + 9 + 90 + 3 + 2 + 483 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4172990324821) and next prime (4172990324843).

It is a super-2 number, since 2×4172990324832² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14682894 + ... + 14964402.

It is an arithmetic number, because the mean of its divisors is an integer number (31473944040).

Almost surely, 2^{4172990324832} is an apocalyptic number.

4172990324832 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 4172990324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553746569600).

4172990324832 is an abundant number, since it is smaller than the sum of its proper divisors (10934502814368).

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

4172990324832 is a wasteful number, since it uses less digits than its factorization.

4172990324832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281600 (or 281583 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4172990324832 in words is "four trillion, one hundred seventy-two billion, nine hundred ninety million, three hundred twenty-four thousand, eight hundred thirty-two".