2991461990400 has 1728 divisors, whose sum is σ = 12268254234600. Its totient is φ = 692406190080.

The previous prime is 2991461990389. The next prime is 2991461990401. The reversal of 2991461990400 is 40991641992.

2991461990400 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 46 + 199 + 0 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991461990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50702745571 + ... + 50702745629.

Almost surely, 2^{2991461990400} is an apocalyptic number.

2991461990400 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 2991461990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134127117300).

2991461990400 is an abundant number, since it is smaller than the sum of its proper divisors (9276792244200).

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

2991461990400 is a wasteful number, since it uses less digits than its factorization.

2991461990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 2991461990400 in words is "two trillion, nine hundred ninety-one billion, four hundred sixty-one million, nine hundred ninety thousand, four hundred".