40344960 has 64 divisors (see below), whose sum is σ = 128605680. Its totient is φ = 10758144.

The previous prime is 40344959. The next prime is 40344971. The reversal of 40344960 is 6944304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8587 + ... + 12426.

Almost surely, 2^40344960 is an apocalyptic number.

40344960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40344960 is an abundant number, since it is smaller than the sum of its proper divisors (88260720).

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

40344960 is a wasteful number, since it uses less digits than its factorization.

40344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21035 (or 21023 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 40344960 is about 6351.7682577374. The cubic root of 40344960 is about 342.9754988208.

The spelling of 40344960 in words is "forty million, three hundred forty-four thousand, nine hundred sixty".