189124790400 has 1728 divisors, whose sum is σ = 864348193800. Its totient is φ = 39249100800.

The previous prime is 189124790389. The next prime is 189124790419. The reversal of 189124790400 is 4097421981.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 138973875264 + 50150915136 = 372792^2 + 223944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3100406370 + ... + 3100406430.

Almost surely, 2^189124790400 is an apocalyptic number.

189124790400 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 189124790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432174096900).

189124790400 is an abundant number, since it is smaller than the sum of its proper divisors (675223403400).

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

189124790400 is a wasteful number, since it uses less digits than its factorization.

189124790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 189124790400 in words is "one hundred eighty-nine billion, one hundred twenty-four million, seven hundred ninety thousand, four hundred".