1889272190400 has 336 divisors, whose sum is σ = 7100750522880. Its totient is φ = 430804684800.

The previous prime is 1889272190389. The next prime is 1889272190411. The reversal of 1889272190400 is 40912729881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1889272190389) and next prime (1889272190411).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14078821 + ... + 14212379.

It is an arithmetic number, because the mean of its divisors is an integer number (21133186080).

Almost surely, 2^{1889272190400} is an apocalyptic number.

1889272190400 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 1889272190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550375261440).

1889272190400 is an abundant number, since it is smaller than the sum of its proper divisors (5211478332480).

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

1889272190400 is a wasteful number, since it uses less digits than its factorization.

1889272190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134012 (or 133997 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 1889272190400 in words is "one trillion, eight hundred eighty-nine billion, two hundred seventy-two million, one hundred ninety thousand, four hundred".