40712320 has 64 divisors (see below), whose sum is σ = 106194240. Its totient is φ = 14801920.

The previous prime is 40712291. The next prime is 40712333. The reversal of 40712320 is 2321704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4149 + ... + 9931.

It is an arithmetic number, because the mean of its divisors is an integer number (1659285).

Almost surely, 2^40712320 is an apocalyptic number.

40712320 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 40712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53097120).

40712320 is an abundant number, since it is smaller than the sum of its proper divisors (65481920).

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

40712320 is a wasteful number, since it uses less digits than its factorization.

40712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5813 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 40712320 is about 6380.6206594657. The cubic root of 40712320 is about 344.0133400271.

The spelling of 40712320 in words is "forty million, seven hundred twelve thousand, three hundred twenty".