40301664 has 96 divisors (see below), whose sum is σ = 116734464. Its totient is φ = 12096000.

The previous prime is 40301629. The next prime is 40301689. The reversal of 40301664 is 46610304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53289 + ... + 54039.

It is an arithmetic number, because the mean of its divisors is an integer number (1215984).

Almost surely, 2^40301664 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 40301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58367232).

40301664 is an abundant number, since it is smaller than the sum of its proper divisors (76432800).

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

40301664 is a wasteful number, since it uses less digits than its factorization.

40301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 40301664 is about 6348.3591580817. The cubic root of 40301664 is about 342.8527674045.

Adding to 40301664 its reverse (46610304), we get a palindrome (86911968).

The spelling of 40301664 in words is "forty million, three hundred one thousand, six hundred sixty-four".