1890913418240 has 1056 divisors, whose sum is σ = 6206710468608. Its totient is φ = 545565081600.

The previous prime is 1890913418197. The next prime is 1890913418249. The reversal of 1890913418240 is 428143190981.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890913418249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60997207025 + ... + 60997207055.

Almost surely, 2^{1890913418240} is an apocalyptic number.

1890913418240 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 1890913418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103355234304).

1890913418240 is an abundant number, since it is smaller than the sum of its proper divisors (4315797050368).

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

1890913418240 is an equidigital number, since it uses as much as digits as its factorization.

1890913418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 1890913418240 in words is "one trillion, eight hundred ninety billion, nine hundred thirteen million, four hundred eighteen thousand, two hundred forty".