40599740160 has 864 divisors, whose sum is σ = 172492669440. Its totient is φ = 8946008064.

The previous prime is 40599740107. The next prime is 40599740161. The reversal of 40599740160 is 6104799504.

40599740160 is a `hidden beast` number, since 4 + 0 + 599 + 7 + 40 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40599740161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63140799 + ... + 63141441.

Almost surely, 2^40599740160 is an apocalyptic number.

40599740160 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 40599740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86246334720).

40599740160 is an abundant number, since it is smaller than the sum of its proper divisors (131892929280).

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

40599740160 is an equidigital number, since it uses as much as digits as its factorization.

40599740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40599740160 in words is "forty billion, five hundred ninety-nine million, seven hundred forty thousand, one hundred sixty".