190253414400 has 1152 divisors, whose sum is σ = 773450496000. Its totient is φ = 40290877440.

The previous prime is 190253414399. The next prime is 190253414431. The reversal of 190253414400 is 4414352091.

It is a congruent number.

It is an unprimeable number.

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, 1368729531 + ... + 1368729669.

It is an arithmetic number, because the mean of its divisors is an integer number (671398000).

Almost surely, 2^190253414400 is an apocalyptic number.

190253414400 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 190253414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386725248000).

190253414400 is an abundant number, since it is smaller than the sum of its proper divisors (583197081600).

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

190253414400 is a wasteful number, since it uses less digits than its factorization.

190253414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 190253414400 its reverse (4414352091), we get a palindrome (194667766491).

The spelling of 190253414400 in words is "one hundred ninety billion, two hundred fifty-three million, four hundred fourteen thousand, four hundred".