18892240261440 has 896 divisors, whose sum is σ = 76406724430848. Its totient is φ = 3848672378880.

The previous prime is 18892240261397. The next prime is 18892240261457. The reversal of 18892240261440 is 4416204229881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347403532 + ... + 347457908.

It is an arithmetic number, because the mean of its divisors is an integer number (85275362088).

Almost surely, 2^{18892240261440} is an apocalyptic number.

18892240261440 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 18892240261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38203362215424).

18892240261440 is an abundant number, since it is smaller than the sum of its proper divisors (57514484169408).

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

18892240261440 is a wasteful number, since it uses less digits than its factorization.

18892240261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54555 (or 54545 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 18892240261440 in words is "eighteen trillion, eight hundred ninety-two billion, two hundred forty million, two hundred sixty-one thousand, four hundred forty".