20938357440 has 1344 divisors, whose sum is σ = 100651299840. Its totient is φ = 4001218560.

The previous prime is 20938357439. The next prime is 20938357457. The reversal of 20938357440 is 4475383902.

20938357440 is a `hidden beast` number, since 2 + 0 + 9 + 38 + 3 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77837626 + ... + 77837894.

It is an arithmetic number, because the mean of its divisors is an integer number (74889360).

Almost surely, 2^20938357440 is an apocalyptic number.

20938357440 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 20938357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50325649920).

20938357440 is an abundant number, since it is smaller than the sum of its proper divisors (79712942400).

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

20938357440 is a wasteful number, since it uses less digits than its factorization.

20938357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20938357440 in words is "twenty billion, nine hundred thirty-eight million, three hundred fifty-seven thousand, four hundred forty".