21127357440 has 528 divisors, whose sum is σ = 87369235200. Its totient is φ = 4827561984.

The previous prime is 21127357397. The next prime is 21127357451. The reversal of 21127357440 is 4475372112.

21127357440 is a `hidden beast` number, since 2 + 1 + 12 + 73 + 574 + 4 + 0 = 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 = 21127357395 and 21127357404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6772201 + ... + 6775319.

Almost surely, 2^21127357440 is an apocalyptic number.

21127357440 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 21127357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43684617600).

21127357440 is an abundant number, since it is smaller than the sum of its proper divisors (66241877760).

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

21127357440 is a wasteful number, since it uses less digits than its factorization.

21127357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21127357440 in words is "twenty-one billion, one hundred twenty-seven million, three hundred fifty-seven thousand, four hundred forty".