40403664 has 160 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 11145600.

The previous prime is 40403659. The next prime is 40403677. The reversal of 40403664 is 46630404.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93529 + ... + 93959.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 2^40403664 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 40403664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

40403664 is an abundant number, since it is smaller than the sum of its proper divisors (96730416).

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

40403664 is a wasteful number, since it uses less digits than its factorization.

40403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40403664 is about 6356.3876533767. The cubic root of 40403664 is about 343.1417672239.

The spelling of 40403664 in words is "forty million, four hundred three thousand, six hundred sixty-four".