40436716320 has 1152 divisors, whose sum is σ = 192320593920. Its totient is φ = 7748628480.

The previous prime is 40436716267. The next prime is 40436716321. The reversal of 40436716320 is 2361763404.

It is a happy number.

40436716320 is a `hidden beast` number, since 40 + 436 + 7 + 163 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (40436716321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38918361 + ... + 38919399.

It is an arithmetic number, because the mean of its divisors is an integer number (166944960).

Almost surely, 2^40436716320 is an apocalyptic number.

40436716320 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 40436716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96160296960).

40436716320 is an abundant number, since it is smaller than the sum of its proper divisors (151883877600).

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

40436716320 is a wasteful number, since it uses less digits than its factorization.

40436716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 40436716320 in words is "forty billion, four hundred thirty-six million, seven hundred sixteen thousand, three hundred twenty".