40712160 has 96 divisors (see below), whose sum is σ = 129820320. Its totient is φ = 10723328.

The previous prime is 40712159. The next prime is 40712171. The reversal of 40712160 is 6121704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42244 + ... + 43196.

It is an arithmetic number, because the mean of its divisors is an integer number (1352295).

Almost surely, 2^40712160 is an apocalyptic number.

40712160 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 40712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64910160).

40712160 is an abundant number, since it is smaller than the sum of its proper divisors (89108160).

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

40712160 is a wasteful number, since it uses less digits than its factorization.

40712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 40712160 is about 6380.6081214881. The cubic root of 40712160 is about 344.0128893674.

Adding to 40712160 its reverse (6121704), we get a palindrome (46833864).

The spelling of 40712160 in words is "forty million, seven hundred twelve thousand, one hundred sixty".