20022949440 has 448 divisors, whose sum is σ = 76963219200. Its totient is φ = 4870914048.

The previous prime is 20022949433. The next prime is 20022949481. The reversal of 20022949440 is 4494922002.

20022949440 is a `hidden beast` number, since 200 + 2 + 2 + 9 + 4 + 9 + 440 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 20022949395 and 20022949404.

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 63 ways as a sum of consecutive naturals, for example, 9995479 + ... + 9997481.

It is an arithmetic number, because the mean of its divisors is an integer number (171792900).

Almost surely, 2^20022949440 is an apocalyptic number.

20022949440 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 20022949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38481609600).

20022949440 is an abundant number, since it is smaller than the sum of its proper divisors (56940269760).

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

20022949440 is a wasteful number, since it uses less digits than its factorization.

20022949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20022949440 in words is "twenty billion, twenty-two million, nine hundred forty-nine thousand, four hundred forty".