21394960416 has 144 divisors (see below), whose sum is σ = 62013952728. Its totient is φ = 6994944000.

The previous prime is 21394960399. The next prime is 21394960421. The reversal of 21394960416 is 61406949312.

21394960416 is a `hidden beast` number, since 2 + 1 + 39 + 4 + 9 + 604 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20850204816 + 544755600 = 144396^2 + 23340^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7043250 + ... + 7046286.

Almost surely, 2^21394960416 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 21394960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31006976364).

21394960416 is an abundant number, since it is smaller than the sum of its proper divisors (40618992312).

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

21394960416 is a wasteful number, since it uses less digits than its factorization.

21394960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 21394960416 in words is "twenty-one billion, three hundred ninety-four million, nine hundred sixty thousand, four hundred sixteen".