20916014940 has 384 divisors, whose sum is σ = 70697733120. Its totient is φ = 5114658816.

The previous prime is 20916014939. The next prime is 20916014971. The reversal of 20916014940 is 4941061902.

It is a happy number.

20916014940 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 601 + 4 + 9 + 40 = 666.

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 = 20916014895 and 20916014904.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 73908039 + ... + 73908321.

It is an arithmetic number, because the mean of its divisors is an integer number (184108680).

Almost surely, 2^20916014940 is an apocalyptic number.

20916014940 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 20916014940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35348866560).

20916014940 is an abundant number, since it is smaller than the sum of its proper divisors (49781718180).

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

20916014940 is a wasteful number, since it uses less digits than its factorization.

20916014940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20916014940 in words is "twenty billion, nine hundred sixteen million, fourteen thousand, nine hundred forty".