4000942075788 has 192 divisors, whose sum is σ = 12147349939200. Its totient is φ = 1114917419520.

The previous prime is 4000942075733. The next prime is 4000942075811. The reversal of 4000942075788 is 8875702490004.

It is a happy number.

4000942075788 is a `hidden beast` number, since 40 + 0 + 0 + 9 + 4 + 20 + 7 + 578 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117116806 + ... + 117150962.

It is an arithmetic number, because the mean of its divisors is an integer number (63267447600).

Almost surely, 2^{4000942075788} 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 4000942075788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073674969600).

4000942075788 is an abundant number, since it is smaller than the sum of its proper divisors (8146407863412).

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

4000942075788 is a wasteful number, since it uses less digits than its factorization.

4000942075788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37997 (or 37989 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 4000942075788 in words is "four trillion, nine hundred forty-two million, seventy-five thousand, seven hundred eighty-eight".