40345956 has 72 divisors (see below), whose sum is σ = 121640064. Its totient is φ = 11024640.

The previous prime is 40345901. The next prime is 40345967. The reversal of 40345956 is 65954304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40345956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316 + ... + 9276.

Almost surely, 2^40345956 is an apocalyptic number.

40345956 is a gapful number since it is divisible by the number (46) 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 40345956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60820032).

40345956 is an abundant number, since it is smaller than the sum of its proper divisors (81294108).

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

40345956 is a wasteful number, since it uses less digits than its factorization.

40345956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 40345956 is about 6351.8466606177. The cubic root of 40345956 is about 342.9783211542.

The spelling of 40345956 in words is "forty million, three hundred forty-five thousand, nine hundred fifty-six".