94876384415040 has 560 divisors, whose sum is σ = 357497762851152. Its totient is φ = 23801896894464.

The previous prime is 94876384414961. The next prime is 94876384415069. The reversal of 94876384415040 is 4051448367849.

94876384415040 is a `hidden beast` number, since 9 + 4 + 8 + 7 + 6 + 3 + 84 + 41 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 451164769344 + 94425219645696 = 671688^2 + 9717264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1054406532 + ... + 1054496508.

Almost surely, 2^{94876384415040} is an apocalyptic number.

94876384415040 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 94876384415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178748881425576).

94876384415040 is an abundant number, since it is smaller than the sum of its proper divisors (262621378436112).

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

94876384415040 is a wasteful number, since it uses less digits than its factorization.

94876384415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92416 (or 92397 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 94876384415040 in words is "ninety-four trillion, eight hundred seventy-six billion, three hundred eighty-four million, four hundred fifteen thousand, forty".