20401414992 has 240 divisors, whose sum is σ = 66845126400. Its totient is φ = 5806128384.

The previous prime is 20401414933. The next prime is 20401415017. The reversal of 20401414992 is 29941410402.

20401414992 is a `hidden beast` number, since 20 + 4 + 0 + 141 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15656613 + ... + 15657915.

It is an arithmetic number, because the mean of its divisors is an integer number (278521360).

Almost surely, 2^20401414992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20401414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33422563200).

20401414992 is an abundant number, since it is smaller than the sum of its proper divisors (46443711408).

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

20401414992 is a wasteful number, since it uses less digits than its factorization.

20401414992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20401414992 in words is "twenty billion, four hundred one million, four hundred fourteen thousand, nine hundred ninety-two".