4000666700940 has 384 divisors, whose sum is σ = 13951282157568. Its totient is φ = 834073804800.

The previous prime is 4000666700939. The next prime is 4000666701011. The reversal of 4000666700940 is 490076660004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4000666700892 and 4000666700901.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234263682 + ... + 234280758.

It is an arithmetic number, because the mean of its divisors is an integer number (36331463952).

Almost surely, 2^{4000666700940} 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 4000666700940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975641078784).

4000666700940 is an abundant number, since it is smaller than the sum of its proper divisors (9950615456628).

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

4000666700940 is a wasteful number, since it uses less digits than its factorization.

4000666700940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17615 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 4000666700940 in words is "four trillion, six hundred sixty-six million, seven hundred thousand, nine hundred forty".