40468144 has 40 divisors (see below), whose sum is σ = 81994752. Its totient is φ = 19325760.

The previous prime is 40468133. The next prime is 40468147. The reversal of 40468144 is 44186404.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (40468147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40677 + ... + 41659.

Almost surely, 2^40468144 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 40468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997376).

40468144 is an abundant number, since it is smaller than the sum of its proper divisors (41526608).

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

40468144 is a wasteful number, since it uses less digits than its factorization.

40468144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 40468144 is about 6361.4576945854. The cubic root of 40468144 is about 343.3242096003.

The spelling of 40468144 in words is "forty million, four hundred sixty-eight thousand, one hundred forty-four".