40368132 has 144 divisors (see below), whose sum is σ = 128419200. Its totient is φ = 10824192.

The previous prime is 40368113. The next prime is 40368137. The reversal of 40368132 is 23186304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40368096 and 40368105.

It is not an unprimeable number, because it can be changed into a prime (40368137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115494 + ... + 115842.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 2^40368132 is an apocalyptic number.

40368132 is a gapful number since it is divisible by the number (42) 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 40368132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64209600).

40368132 is an abundant number, since it is smaller than the sum of its proper divisors (88051068).

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

40368132 is a wasteful number, since it uses less digits than its factorization.

40368132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40368132 is about 6353.5920548930. The cubic root of 40368132 is about 343.0411485510.

The spelling of 40368132 in words is "forty million, three hundred sixty-eight thousand, one hundred thirty-two".