2956666401000 has 1024 divisors, whose sum is σ = 11880589593600. Its totient is φ = 673671168000.

The previous prime is 2956666400959. The next prime is 2956666401011. The reversal of 2956666401000 is 1046666592.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 363982939 + ... + 363991061.

It is an arithmetic number, because the mean of its divisors is an integer number (11602138275).

Almost surely, 2^{2956666401000} is an apocalyptic number.

2956666401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2956666401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940294796800).

2956666401000 is an abundant number, since it is smaller than the sum of its proper divisors (8923923192600).

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

2956666401000 is a wasteful number, since it uses less digits than its factorization.

2956666401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2956666401000 in words is "two trillion, nine hundred fifty-six billion, six hundred sixty-six million, four hundred one thousand".