10189381440000 has 2400 divisors, whose sum is σ = 41472085634496. Its totient is φ = 2214051840000.

The previous prime is 10189381439987. The next prime is 10189381440013. The reversal of 10189381440000 is 4418398101.

It is an interprime number because it is at equal distance from previous prime (10189381439987) and next prime (10189381440013).

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 152080319967 + ... + 152080320033.

Almost surely, 2^{10189381440000} is an apocalyptic number.

10189381440000 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 10189381440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736042817248).

10189381440000 is an abundant number, since it is smaller than the sum of its proper divisors (31282704194496).

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

10189381440000 is an frugal number, since it uses more digits than its factorization.

10189381440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 10189381440000 in words is "ten trillion, one hundred eighty-nine billion, three hundred eighty-one million, four hundred forty thousand".