2994385190400 has 720 divisors, whose sum is σ = 11349970055424. Its totient is φ = 781475143680.

The previous prime is 2994385190383. The next prime is 2994385190411. The reversal of 2994385190400 is 40915834992.

2994385190400 is a `hidden beast` number, since 2 + 9 + 9 + 43 + 8 + 5 + 190 + 400 = 666.

2994385190400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146178559 + ... + 146199041.

Almost surely, 2^{2994385190400} is an apocalyptic number.

2994385190400 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 2994385190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674985027712).

2994385190400 is an abundant number, since it is smaller than the sum of its proper divisors (8355584865024).

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

2994385190400 is an equidigital number, since it uses as much as digits as its factorization.

2994385190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20573 (or 20540 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2994385190400 in words is "two trillion, nine hundred ninety-four billion, three hundred eighty-five million, one hundred ninety thousand, four hundred".