40461115680 has 384 divisors, whose sum is σ = 149767833600. Its totient is φ = 10185523200.

The previous prime is 40461115663. The next prime is 40461115691. The reversal of 40461115680 is 8651116404.

40461115680 is a `hidden beast` number, since 4 + 0 + 461 + 115 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5487036 + ... + 5494404.

It is an arithmetic number, because the mean of its divisors is an integer number (390020400).

Almost surely, 2^40461115680 is an apocalyptic number.

40461115680 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 40461115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74883916800).

40461115680 is an abundant number, since it is smaller than the sum of its proper divisors (109306717920).

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

40461115680 is a wasteful number, since it uses less digits than its factorization.

40461115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7465 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 40461115680 in words is "forty billion, four hundred sixty-one million, one hundred fifteen thousand, six hundred eighty".