40916684160 has 384 divisors, whose sum is σ = 154679915520. Its totient is φ = 9884160000.

The previous prime is 40916684153. The next prime is 40916684189. The reversal of 40916684160 is 6148661904.

40916684160 is a `hidden beast` number, since 409 + 1 + 6 + 6 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20971185 + ... + 20973135.

It is an arithmetic number, because the mean of its divisors is an integer number (402812280).

Almost surely, 2^40916684160 is an apocalyptic number.

40916684160 is a gapful number since it is divisible by the number (40) 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 40916684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77339957760).

40916684160 is an abundant number, since it is smaller than the sum of its proper divisors (113763231360).

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

40916684160 is a wasteful number, since it uses less digits than its factorization.

40916684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40916684160 in words is "forty billion, nine hundred sixteen million, six hundred eighty-four thousand, one hundred sixty".