9049772040120 has 768 divisors, whose sum is σ = 34791208058880. Its totient is φ = 1997175398400.

The previous prime is 9049772040037. The next prime is 9049772040163. The reversal of 9049772040120 is 210402779409.

It is a happy number.

9049772040120 is a `hidden beast` number, since 90 + 4 + 97 + 72 + 0 + 401 + 2 + 0 = 666.

It is a super-2 number, since 2×9049772040120² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8279754294 + ... + 8279755386.

It is an arithmetic number, because the mean of its divisors is an integer number (45301052160).

Almost surely, 2^{9049772040120} is an apocalyptic number.

9049772040120 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 9049772040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395604029440).

9049772040120 is an abundant number, since it is smaller than the sum of its proper divisors (25741436018760).

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

9049772040120 is a wasteful number, since it uses less digits than its factorization.

9049772040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 9049772040120 in words is "nine trillion, forty-nine billion, seven hundred seventy-two million, forty thousand, one hundred twenty".