20741797440 has 1792 divisors, whose sum is σ = 99627171840. Its totient is φ = 3941498880.

The previous prime is 20741797421. The next prime is 20741797441. The reversal of 20741797440 is 4479714702.

It is a super-2 number, since 2×20741797440² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20741797441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 560589102 + ... + 560589138.

It is an arithmetic number, because the mean of its divisors is an integer number (55595520).

Almost surely, 2^20741797440 is an apocalyptic number.

20741797440 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 20741797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49813585920).

20741797440 is an abundant number, since it is smaller than the sum of its proper divisors (78885374400).

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

20741797440 is a wasteful number, since it uses less digits than its factorization.

20741797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 20741797440 in words is "twenty billion, seven hundred forty-one million, seven hundred ninety-seven thousand, four hundred forty".