20612251440 has 480 divisors, whose sum is σ = 80256863232. Its totient is φ = 4872960000.

The previous prime is 20612251411. The next prime is 20612251489. The reversal of 20612251440 is 4415221602.

20612251440 is a `hidden beast` number, since 2 + 0 + 612 + 2 + 5 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8766265 + ... + 8768615.

Almost surely, 2^20612251440 is an apocalyptic number.

20612251440 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 20612251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40128431616).

20612251440 is an abundant number, since it is smaller than the sum of its proper divisors (59644611792).

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

20612251440 is a wasteful number, since it uses less digits than its factorization.

20612251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 20612251440 in words is "twenty billion, six hundred twelve million, two hundred fifty-one thousand, four hundred forty".