40369968 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 12063744.

The previous prime is 40369963. The next prime is 40369969. The reversal of 40369968 is 86996304.

It is not an unprimeable number, because it can be changed into a prime (40369963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168793 + ... + 169031.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^40369968 is an apocalyptic number.

40369968 is a gapful number since it is divisible by the number (48) 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 40369968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40369968 is an abundant number, since it is smaller than the sum of its proper divisors (88193232).

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

40369968 is a wasteful number, since it uses less digits than its factorization.

40369968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 40369968 is about 6353.7365384473. The cubic root of 40369968 is about 343.0463491384.

The spelling of 40369968 in words is "forty million, three hundred sixty-nine thousand, nine hundred sixty-eight".