20949949440 has 528 divisors, whose sum is σ = 83874465792. Its totient is φ = 4735991808.

The previous prime is 20949949429. The next prime is 20949949511. The reversal of 20949949440 is 4494994902.

It is a happy number.

20949949440 is a `hidden beast` number, since 20 + 9 + 4 + 99 + 494 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34513617 + ... + 34514223.

Almost surely, 2^20949949440 is an apocalyptic number.

20949949440 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 20949949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937232896).

20949949440 is an abundant number, since it is smaller than the sum of its proper divisors (62924516352).

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

20949949440 is a wasteful number, since it uses less digits than its factorization.

20949949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20949949440 in words is "twenty billion, nine hundred forty-nine million, nine hundred forty-nine thousand, four hundred forty".