9075421440 has 720 divisors, whose sum is σ = 36326949120. Its totient is φ = 2149908480.

The previous prime is 9075421429. The next prime is 9075421471. The reversal of 9075421440 is 441245709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9075421440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9075421395 and 9075421404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33488505 + ... + 33488775.

It is an arithmetic number, because the mean of its divisors is an integer number (50454096).

Almost surely, 2^9075421440 is an apocalyptic number.

9075421440 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 9075421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163474560).

9075421440 is an abundant number, since it is smaller than the sum of its proper divisors (27251527680).

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

9075421440 is a wasteful number, since it uses less digits than its factorization.

9075421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 9075421440 is about 95265.0063769483. The cubic root of 9075421440 is about 2085.8781457016.

The spelling of 9075421440 in words is "nine billion, seventy-five million, four hundred twenty-one thousand, four hundred forty".