20439332496144 has 315 divisors, whose sum is σ = 60917796716367. Its totient is φ = 6640427174400.

The previous prime is 20439332496127. The next prime is 20439332496169. The reversal of 20439332496144 is 44169423393402.

The square root of 20439332496144 is 4520988.

It is a perfect power (a square), and thus also a powerful number.

20439332496144 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 9 + 3 + 3 + 2 + 496 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4384886256144 + 16054446240000 = 2094012^2 + 4006800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20018934354 + ... + 20018935374.

Almost surely, 2^{20439332496144} is an apocalyptic number.

20439332496144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20439332496144 is the 4520988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20439332496144

20439332496144 is an abundant number, since it is smaller than the sum of its proper divisors (40478464220223).

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

20439332496144 is an frugal number, since it uses more digits than its factorization.

20439332496144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 20439332496144 in words is "twenty trillion, four hundred thirty-nine billion, three hundred thirty-two million, four hundred ninety-six thousand, one hundred forty-four".