4000766103504 has 40 divisors (see below), whose sum is σ = 11483680483520. Its totient is φ = 1333588701024.

The previous prime is 4000766103427. The next prime is 4000766103527. The reversal of 4000766103504 is 4053016670004.

It is a happy number.

4000766103504 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 7 + 6 + 610 + 35 + 0 + 4 = 666.

It is a super-2 number, since 2×4000766103504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4630515892 + ... + 4630516755.

It is an arithmetic number, because the mean of its divisors is an integer number (287092012088).

Almost surely, 2^{4000766103504} is an apocalyptic number.

It is an amenable number.

4000766103504 is an abundant number, since it is smaller than the sum of its proper divisors (7482914380016).

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

4000766103504 is a wasteful number, since it uses less digits than its factorization.

4000766103504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261032664 (or 9261032652 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 4000766103504 in words is "four trillion, seven hundred sixty-six million, one hundred three thousand, five hundred four".