21454318440 has 96 divisors (see below), whose sum is σ = 69913906920. Its totient is φ = 5705777664.

The previous prime is 21454318421. The next prime is 21454318489. The reversal of 21454318440 is 4481345412.

21454318440 is a `hidden beast` number, since 2 + 145 + 431 + 84 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21025580004 + 428738436 = 145002^2 + 20706^2 .

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 = 21454318395 and 21454318404.

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, 54394 + ... + 214166.

Almost surely, 2^21454318440 is an apocalyptic number.

21454318440 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 21454318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34956953460).

21454318440 is an abundant number, since it is smaller than the sum of its proper divisors (48459588480).

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

21454318440 is a wasteful number, since it uses less digits than its factorization.

21454318440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160163 (or 160156 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 21454318440 in words is "twenty-one billion, four hundred fifty-four million, three hundred eighteen thousand, four hundred forty".