40268032 has 72 divisors (see below), whose sum is σ = 95953536. Its totient is φ = 16490496.

The previous prime is 40268029. The next prime is 40268051. The reversal of 40268032 is 23086204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40267988 and 40268006.

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, 40728 + ... + 41704.

It is an arithmetic number, because the mean of its divisors is an integer number (1332688).

Almost surely, 2^40268032 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 40268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47976768).

40268032 is an abundant number, since it is smaller than the sum of its proper divisors (55685504).

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

40268032 is an equidigital number, since it uses as much as digits as its factorization.

40268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40268032 is about 6345.7097317794. The cubic root of 40268032 is about 342.7573699102.

The spelling of 40268032 in words is "forty million, two hundred sixty-eight thousand, thirty-two".