40642672 has 80 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 16208640.

The previous prime is 40642663. The next prime is 40642711. The reversal of 40642672 is 27624604.

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, 150954 + ... + 151222.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^40642672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

40642672 is an abundant number, since it is smaller than the sum of its proper divisors (55779728).

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

40642672 is a wasteful number, since it uses less digits than its factorization.

40642672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 40642672 is about 6375.1605469980. The cubic root of 40642672 is about 343.8170561415.

It can be divided in two parts, 40642 and 672, that added together give a palindrome (41314).

The spelling of 40642672 in words is "forty million, six hundred forty-two thousand, six hundred seventy-two".