20026621440 has 960 divisors, whose sum is σ = 84919475520. Its totient is φ = 4514807808.

The previous prime is 20026621361. The next prime is 20026621453. The reversal of 20026621440 is 4412662002.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274337244 + ... + 274337316.

It is an arithmetic number, because the mean of its divisors is an integer number (88457787).

Almost surely, 2^20026621440 is an apocalyptic number.

20026621440 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 20026621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42459737760).

20026621440 is an abundant number, since it is smaller than the sum of its proper divisors (64892854080).

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

20026621440 is an frugal number, since it uses more digits than its factorization.

20026621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20026621440 in words is "twenty billion, twenty-six million, six hundred twenty-one thousand, four hundred forty".