9022516439040 has 1536 divisors, whose sum is σ = 37042848460800. Its totient is φ = 2089137733632.

The previous prime is 9022516439029. The next prime is 9022516439077. The reversal of 9022516439040 is 409346152209.

9022516439040 is a `hidden beast` number, since 9 + 0 + 2 + 2 + 516 + 4 + 3 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×9022516439040² (a number of 27 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4949267569 + ... + 4949269391.

It is an arithmetic number, because the mean of its divisors is an integer number (24116437800).

Almost surely, 2^{9022516439040} is an apocalyptic number.

9022516439040 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 9022516439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18521424230400).

9022516439040 is an abundant number, since it is smaller than the sum of its proper divisors (28020332021760).

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

9022516439040 is a wasteful number, since it uses less digits than its factorization.

9022516439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 9022516439040 in words is "nine trillion, twenty-two billion, five hundred sixteen million, four hundred thirty-nine thousand, forty".