9659410151040 has 2048 divisors, whose sum is σ = 40626302976000. Its totient is φ = 2146404925440.

The previous prime is 9659410151011. The next prime is 9659410151051. The reversal of 9659410151040 is 401510149569.

9659410151040 is a `hidden beast` number, since 9 + 6 + 5 + 94 + 1 + 0 + 1 + 510 + 40 = 666.

It is a super-2 number, since 2×9659410151040² (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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16455553627 + ... + 16455554213.

It is an arithmetic number, because the mean of its divisors is an integer number (19837062000).

Almost surely, 2^{9659410151040} is an apocalyptic number.

9659410151040 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 9659410151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313151488000).

9659410151040 is an abundant number, since it is smaller than the sum of its proper divisors (30966892824960).

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

9659410151040 is a wasteful number, since it uses less digits than its factorization.

9659410151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 9659410151040 in words is "nine trillion, six hundred fifty-nine billion, four hundred ten million, one hundred fifty-one thousand, forty".