40972960 has 48 divisors (see below), whose sum is σ = 110630016. Its totient is φ = 14047488.

The previous prime is 40972903. The next prime is 40972961. The reversal of 40972960 is 6927904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40972961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17172 + ... + 19411.

It is an arithmetic number, because the mean of its divisors is an integer number (2304792).

Almost surely, 2^40972960 is an apocalyptic number.

40972960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40972960 is an abundant number, since it is smaller than the sum of its proper divisors (69657056).

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

40972960 is a wasteful number, since it uses less digits than its factorization.

40972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36605 (or 36597 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 40972960 is about 6401.0124199223. The cubic root of 40972960 is about 344.7459026567.

The spelling of 40972960 in words is "forty million, nine hundred seventy-two thousand, nine hundred sixty".