40079904 has 48 divisors (see below), whose sum is σ = 106414560. Its totient is φ = 13207040.

The previous prime is 40079903. The next prime is 40079927. The reversal of 40079904 is 40997004.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (40079903) 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, 6199 + ... + 10889.

It is an arithmetic number, because the mean of its divisors is an integer number (2216970).

Almost surely, 2^40079904 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 40079904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53207280).

40079904 is an abundant number, since it is smaller than the sum of its proper divisors (66334656).

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

40079904 is a wasteful number, since it uses less digits than its factorization.

40079904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 40079904 is about 6330.8691346449. The cubic root of 40079904 is about 342.2227610668. Note that the first 3 decimals are identical.

The spelling of 40079904 in words is "forty million, seventy-nine thousand, nine hundred four".