4004072970064 has 40 divisors (see below), whose sum is σ = 7938516293312. Its totient is φ = 1955426054400.

The previous prime is 4004072970041. The next prime is 4004072970113. The reversal of 4004072970064 is 4600792704004.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 4004072970064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48256837 + ... + 48339739.

Almost surely, 2^{4004072970064} is an apocalyptic number.

It is an amenable number.

4004072970064 is a deficient number, since it is larger than the sum of its proper divisors (3934443323248).

4004072970064 is a wasteful number, since it uses less digits than its factorization.

4004072970064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153155 (or 153149 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 4004072970064 in words is "four trillion, four billion, seventy-two million, nine hundred seventy thousand, sixty-four".