40004440682004 has 18 divisors (see below), whose sum is σ = 101122336168490. Its totient is φ = 13334813560656.

The previous prime is 40004440681993. The next prime is 40004440682027. The reversal of 40004440682004 is 40028604440004.

40004440682004 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 4 + 440 + 6 + 8 + 200 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34245880592004 + 5758560090000 = 5851998^2 + 2399700^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1111234463389 = 40004440682004 / (4 + 0 + 0 + 0 + 4 + 4 + 4 + 0 + 6 + 8 + 2 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 40004440682004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555617231659 + ... + 555617231730.

Almost surely, 2^{40004440682004} is an apocalyptic number.

It is an amenable number.

40004440682004 is an abundant number, since it is smaller than the sum of its proper divisors (61117895486486).

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

40004440682004 is a wasteful number, since it uses less digits than its factorization.

40004440682004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111234463399 (or 1111234463394 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 40004440682004 in words is "forty trillion, four billion, four hundred forty million, six hundred eighty-two thousand, four".