21274799040 has 1120 divisors, whose sum is σ = 89222031360. Its totient is φ = 4760985600.

The previous prime is 21274799023. The next prime is 21274799057. The reversal of 21274799040 is 4099747212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21274799023) and next prime (21274799057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 256322839 + ... + 256322921.

It is an arithmetic number, because the mean of its divisors is an integer number (79662528).

Almost surely, 2^21274799040 is an apocalyptic number.

21274799040 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 21274799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44611015680).

21274799040 is an abundant number, since it is smaller than the sum of its proper divisors (67947232320).

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

21274799040 is a wasteful number, since it uses less digits than its factorization.

21274799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 21274799040 in words is "twenty-one billion, two hundred seventy-four million, seven hundred ninety-nine thousand, forty".