18874431037440 has 672 divisors, whose sum is σ = 71922183645312. Its totient is φ = 4540563456000.

The previous prime is 18874431037409. The next prime is 18874431037487. The reversal of 18874431037440 is 4473013447881.

It is a happy number.

18874431037440 is a `hidden beast` number, since 1 + 8 + 87 + 443 + 10 + 3 + 74 + 40 = 666.

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, 531192475 + ... + 531228005.

It is an arithmetic number, because the mean of its divisors is an integer number (107027058996).

Almost surely, 2^{18874431037440} is an apocalyptic number.

18874431037440 is a gapful number since it is divisible by the number (10) 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 18874431037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35961091822656).

18874431037440 is an abundant number, since it is smaller than the sum of its proper divisors (53047752607872).

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

18874431037440 is a wasteful number, since it uses less digits than its factorization.

18874431037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35710 (or 35683 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 18874431037440 in words is "eighteen trillion, eight hundred seventy-four billion, four hundred thirty-one million, thirty-seven thousand, four hundred forty".