20212975440 has 320 divisors, whose sum is σ = 80347238400. Its totient is φ = 4574900736.

The previous prime is 20212975417. The next prime is 20212975463. The reversal of 20212975440 is 4457921202.

20212975440 is a `hidden beast` number, since 2 + 0 + 21 + 2 + 97 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20212975417) and next prime (20212975463).

It is a super-2 number, since 2×20212975440² (a number of 21 digits) contains 22 as substring.

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 = 20212975395 and 20212975404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1550871 + ... + 1563849.

It is an arithmetic number, because the mean of its divisors is an integer number (251085120).

Almost surely, 2^20212975440 is an apocalyptic number.

20212975440 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 20212975440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40173619200).

20212975440 is an abundant number, since it is smaller than the sum of its proper divisors (60134262960).

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

20212975440 is a wasteful number, since it uses less digits than its factorization.

20212975440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20212975440 in words is "twenty billion, two hundred twelve million, nine hundred seventy-five thousand, four hundred forty".