20338387597440 has 2048 divisors, whose sum is σ = 82640093184000. Its totient is φ = 4684252446720.

The previous prime is 20338387597439. The next prime is 20338387597477. The reversal of 20338387597440 is 4479578383302.

20338387597440 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 8 + 38 + 7 + 597 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53102839489 + ... + 53102839871.

It is an arithmetic number, because the mean of its divisors is an integer number (40351608000).

Almost surely, 2^{20338387597440} is an apocalyptic number.

20338387597440 is a gapful number since it is divisible by the number (20) 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 20338387597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41320046592000).

20338387597440 is an abundant number, since it is smaller than the sum of its proper divisors (62301705586560).

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

20338387597440 is a wasteful number, since it uses less digits than its factorization.

20338387597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 20338387597440 in words is "twenty trillion, three hundred thirty-eight billion, three hundred eighty-seven million, five hundred ninety-seven thousand, four hundred forty".