9105663074040 has 192 divisors, whose sum is σ = 32866595186400. Its totient is φ = 2241393942528.

The previous prime is 9105663074017. The next prime is 9105663074047. The reversal of 9105663074040 is 404703665019.

9105663074040 is a `hidden beast` number, since 9 + 1 + 0 + 5 + 6 + 630 + 7 + 4 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9105663074047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24761769 + ... + 25126808.

Almost surely, 2^{9105663074040} is an apocalyptic number.

9105663074040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9105663074040 is an abundant number, since it is smaller than the sum of its proper divisors (23760932112360).

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

9105663074040 is a wasteful number, since it uses less digits than its factorization.

9105663074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49888623 (or 49888600 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 9105663074040 in words is "nine trillion, one hundred five billion, six hundred sixty-three million, seventy-four thousand, forty".