9225400264080 has 1280 divisors, whose sum is σ = 40495968092160. Its totient is φ = 1673196134400.

The previous prime is 9225400264079. The next prime is 9225400264081. The reversal of 9225400264080 is 804620045229.

It is an interprime number because it is at equal distance from previous prime (9225400264079) and next prime (9225400264081).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9225400264081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2880235759 + ... + 2880238961.

It is an arithmetic number, because the mean of its divisors is an integer number (31637475072).

Almost surely, 2^{9225400264080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9225400264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247984046080).

9225400264080 is an abundant number, since it is smaller than the sum of its proper divisors (31270567828080).

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

9225400264080 is a wasteful number, since it uses less digits than its factorization.

9225400264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 9225400264080 in words is "nine trillion, two hundred twenty-five billion, four hundred million, two hundred sixty-four thousand, eighty".