40413632 has 70 divisors (see below), whose sum is σ = 93911928. Its totient is φ = 17254272.

The previous prime is 40413629. The next prime is 40413647. The reversal of 40413632 is 23631404.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 40413598 and 40413607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153533 + ... + 153795.

Almost surely, 2^40413632 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 40413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46955964).

40413632 is an abundant number, since it is smaller than the sum of its proper divisors (53498296).

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

40413632 is an frugal number, since it uses more digits than its factorization.

40413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 40413632 is about 6357.1716981689. The cubic root of 40413632 is about 343.1699837728.

The spelling of 40413632 in words is "forty million, four hundred thirteen thousand, six hundred thirty-two".