9872281440 has 432 divisors, whose sum is σ = 40649944608. Its totient is φ = 2136969216.

The previous prime is 9872281417. The next prime is 9872281453. The reversal of 9872281440 is 441822789.

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 71 ways as a sum of consecutive naturals, for example, 3637524 + ... + 3640236.

It is an arithmetic number, because the mean of its divisors is an integer number (94097094).

Almost surely, 2^9872281440 is an apocalyptic number.

9872281440 is a gapful number since it is divisible by the number (90) 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 9872281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324972304).

9872281440 is an abundant number, since it is smaller than the sum of its proper divisors (30777663168).

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

9872281440 is a wasteful number, since it uses less digits than its factorization.

9872281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 9872281440 is about 99359.3550703707. The cubic root of 9872281440 is about 2145.2233193738.

The spelling of 9872281440 in words is "nine billion, eight hundred seventy-two million, two hundred eighty-one thousand, four hundred forty".