9058949866440 has 384 divisors, whose sum is σ = 32051167948800. Its totient is φ = 2298165384960.

The previous prime is 9058949866433. The next prime is 9058949866451. The reversal of 9058949866440 is 446689498509.

9058949866440 is a `hidden beast` number, since 9 + 0 + 5 + 8 + 94 + 98 + 6 + 6 + 440 = 666.

9058949866440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17523099 + ... + 18032661.

It is an arithmetic number, because the mean of its divisors is an integer number (83466583200).

Almost surely, 2^{9058949866440} is an apocalyptic number.

9058949866440 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 9058949866440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025583974400).

9058949866440 is an abundant number, since it is smaller than the sum of its proper divisors (22992218082360).

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

9058949866440 is a wasteful number, since it uses less digits than its factorization.

9058949866440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509679 (or 509663 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 9058949866440 in words is "nine trillion, fifty-eight billion, nine hundred forty-nine million, eight hundred sixty-six thousand, four hundred forty".