9002251440 has 640 divisors, whose sum is σ = 38530867200. Its totient is φ = 1892367360.

The previous prime is 9002251439. The next prime is 9002251457. The reversal of 9002251440 is 441522009.

9002251440 is a `hidden beast` number, since 90 + 0 + 22 + 514 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 33218505 + ... + 33218775.

It is an arithmetic number, because the mean of its divisors is an integer number (60204480).

Almost surely, 2^9002251440 is an apocalyptic number.

9002251440 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 9002251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265433600).

9002251440 is an abundant number, since it is smaller than the sum of its proper divisors (29528615760).

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

9002251440 is a wasteful number, since it uses less digits than its factorization.

9002251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 9002251440 is about 94880.1951937284. The cubic root of 9002251440 is about 2080.2572598468.

Adding to 9002251440 its reverse (441522009), we get a palindrome (9443773449).

The spelling of 9002251440 in words is "nine billion, two million, two hundred fifty-one thousand, four hundred forty".