21407400960 has 704 divisors, whose sum is σ = 82134155520. Its totient is φ = 4697620480.

The previous prime is 21407400913. The next prime is 21407400983. The reversal of 21407400960 is 6900470412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83297152 + ... + 83297408.

Almost surely, 2^21407400960 is an apocalyptic number.

21407400960 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 21407400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067077760).

21407400960 is an abundant number, since it is smaller than the sum of its proper divisors (60726754560).

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

21407400960 is a wasteful number, since it uses less digits than its factorization.

21407400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 21407400960 in words is "twenty-one billion, four hundred seven million, four hundred thousand, nine hundred sixty".