20097037440 has 256 divisors, whose sum is σ = 71393472000. Its totient is φ = 5342920704.

The previous prime is 20097037421. The next prime is 20097037483. The reversal of 20097037440 is 4473079002.

20097037440 is a `hidden beast` number, since 200 + 9 + 7 + 0 + 3 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20097037395 and 20097037404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6340176 + ... + 6343344.

It is an arithmetic number, because the mean of its divisors is an integer number (278880750).

Almost surely, 2^20097037440 is an apocalyptic number.

20097037440 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 20097037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35696736000).

20097037440 is an abundant number, since it is smaller than the sum of its proper divisors (51296434560).

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

20097037440 is a wasteful number, since it uses less digits than its factorization.

20097037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 20097037440 in words is "twenty billion, ninety-seven million, thirty-seven thousand, four hundred forty".