18039451874400 has 2880 divisors, whose sum is σ = 76638914795520. Its totient is φ = 4089139200000.

The previous prime is 18039451874387. The next prime is 18039451874401. The reversal of 18039451874400 is 447815493081.

18039451874400 is a `hidden beast` number, since 1 + 80 + 3 + 9 + 4 + 518 + 7 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18039451874401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 131674831132 + ... + 131674831268.

It is an arithmetic number, because the mean of its divisors is an integer number (26610734304).

Almost surely, 2^{18039451874400} is an apocalyptic number.

18039451874400 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 18039451874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319457397760).

18039451874400 is an abundant number, since it is smaller than the sum of its proper divisors (58599462921120).

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

18039451874400 is a wasteful number, since it uses less digits than its factorization.

18039451874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18039451874400 in words is "eighteen trillion, thirty-nine billion, four hundred fifty-one million, eight hundred seventy-four thousand, four hundred".