9091125723240 has 480 divisors, whose sum is σ = 33637251934440. Its totient is φ = 2200589614080.

The previous prime is 9091125723233. The next prime is 9091125723259. The reversal of 9091125723240 is 423275211909.

9091125723240 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 1 + 2 + 572 + 32 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8422103151396 + 669022571844 = 2902086^2 + 817938^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 265393954 + ... + 265428206.

Almost surely, 2^{9091125723240} is an apocalyptic number.

9091125723240 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 9091125723240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818625967220).

9091125723240 is an abundant number, since it is smaller than the sum of its proper divisors (24546126211200).

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

9091125723240 is a wasteful number, since it uses less digits than its factorization.

9091125723240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34975 (or 34951 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 9091125723240 in words is "nine trillion, ninety-one billion, one hundred twenty-five million, seven hundred twenty-three thousand, two hundred forty".