21869749440 has 896 divisors, whose sum is σ = 97754480640. Its totient is φ = 4470681600.

The previous prime is 21869749351. The next prime is 21869749513. The reversal of 21869749440 is 4494796812.

21869749440 is a `hidden beast` number, since 21 + 8 + 6 + 97 + 494 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47234649 + ... + 47235111.

Almost surely, 2^21869749440 is an apocalyptic number.

21869749440 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 21869749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48877240320).

21869749440 is an abundant number, since it is smaller than the sum of its proper divisors (75884731200).

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

21869749440 is a wasteful number, since it uses less digits than its factorization.

21869749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21869749440 in words is "twenty-one billion, eight hundred sixty-nine million, seven hundred forty-nine thousand, four hundred forty".