4000620260466 has 96 divisors (see below), whose sum is σ = 9108093234240. Its totient is φ = 1315917503424.

The previous prime is 4000620260449. The next prime is 4000620260471. The reversal of 4000620260466 is 6640620260004.

4000620260466 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 620 + 26 + 0 + 4 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4000620260466.

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 47 ways as a sum of consecutive naturals, for example, 34350180 + ... + 34466448.

It is an arithmetic number, because the mean of its divisors is an integer number (94875971190).

Almost surely, 2^{4000620260466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000620260466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554046617120).

4000620260466 is an abundant number, since it is smaller than the sum of its proper divisors (5107472973774).

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

4000620260466 is a wasteful number, since it uses less digits than its factorization.

4000620260466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117222 (or 117210 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4000620260466 in words is "four trillion, six hundred twenty million, two hundred sixty thousand, four hundred sixty-six".