902242279440 has 640 divisors, whose sum is σ = 3371144947200. Its totient is φ = 221082255360.

The previous prime is 902242279423. The next prime is 902242279483. The reversal of 902242279440 is 44972242209.

It is a super-2 number, since 2×902242279440² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182748652 + ... + 182753588.

It is an arithmetic number, because the mean of its divisors is an integer number (5267413980).

Almost surely, 2^902242279440 is an apocalyptic number.

902242279440 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 902242279440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685572473600).

902242279440 is an abundant number, since it is smaller than the sum of its proper divisors (2468902667760).

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

902242279440 is a wasteful number, since it uses less digits than its factorization.

902242279440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 902242279440 in words is "nine hundred two billion, two hundred forty-two million, two hundred seventy-nine thousand, four hundred forty".