1894216998240 has 864 divisors, whose sum is σ = 7851371018400. Its totient is φ = 429993639936.

The previous prime is 1894216998229. The next prime is 1894216998269. The reversal of 1894216998240 is 428996124981.

1894216998240 is a `hidden beast` number, since 1 + 8 + 9 + 421 + 6 + 99 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283859544 + ... + 283866216.

It is an arithmetic number, because the mean of its divisors is an integer number (9087234975).

Almost surely, 2^{1894216998240} is an apocalyptic number.

1894216998240 is a gapful number since it is divisible by the number (10) 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 1894216998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925685509200).

1894216998240 is an abundant number, since it is smaller than the sum of its proper divisors (5957154020160).

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

1894216998240 is a wasteful number, since it uses less digits than its factorization.

1894216998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 1894216998240 in words is "one trillion, eight hundred ninety-four billion, two hundred sixteen million, nine hundred ninety-eight thousand, two hundred forty".