40073664 has 56 divisors (see below), whose sum is σ = 108913168. Its totient is φ = 12994560.

The previous prime is 40073653. The next prime is 40073711. The reversal of 40073664 is 46637004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4284 + ... + 9924.

It is an arithmetic number, because the mean of its divisors is an integer number (1944878).

Almost surely, 2^40073664 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 40073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54456584).

40073664 is an abundant number, since it is smaller than the sum of its proper divisors (68839504).

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

40073664 is a wasteful number, since it uses less digits than its factorization.

40073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 40073664 is about 6330.3762921330. The cubic root of 40073664 is about 342.2050000391.

The spelling of 40073664 in words is "forty million, seventy-three thousand, six hundred sixty-four".