40006044060004 has 96 divisors (see below), whose sum is σ = 85904991849600. Its totient is φ = 16065347880960.

The previous prime is 40006044059897. The next prime is 40006044060011.

40006044060004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40006044060004² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11363499 + ... + 14461714.

It is an arithmetic number, because the mean of its divisors is an integer number (894843665100).

Almost surely, 2^{40006044060004} is an apocalyptic number.

40006044060004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40006044060004 is an abundant number, since it is smaller than the sum of its proper divisors (45898947789596).

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

40006044060004 is a wasteful number, since it uses less digits than its factorization.

40006044060004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25825373 (or 25825371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4000604 and 4060004, that added together give a palindrome (8060608).

The spelling of 40006044060004 in words is "forty trillion, six billion, forty-four million, sixty thousand, four", and thus it is an eban number.