9901054011240 has 1536 divisors, whose sum is σ = 40592223360000. Its totient is φ = 2145114316800.

The previous prime is 9901054011239. The next prime is 9901054011259. The reversal of 9901054011240 is 421104501099.

It is a happy number.

9901054011240 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 0 + 5 + 401 + 1 + 240 = 666.

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 = 9901054011195 and 9901054011204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19003942180 + ... + 19003942700.

It is an arithmetic number, because the mean of its divisors is an integer number (26427228750).

Almost surely, 2^{9901054011240} is an apocalyptic number.

9901054011240 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 9901054011240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296111680000).

9901054011240 is an abundant number, since it is smaller than the sum of its proper divisors (30691169348760).

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

9901054011240 is a wasteful number, since it uses less digits than its factorization.

9901054011240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 9901054011240 in words is "nine trillion, nine hundred one billion, fifty-four million, eleven thousand, two hundred forty".