19132422400 has 729 divisors, whose sum is σ = 62955476451. Its totient is φ = 5736407040.

The previous prime is 19132422377. The next prime is 19132422403. The reversal of 19132422400 is 422423191.

The square root of 19132422400 is 138320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4931410176 + 14201012224 = 70224^2 + 119168^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (19132422403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1006969591 + ... + 1006969609.

Almost surely, 2^19132422400 is an apocalyptic number.

19132422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19132422400 is the 138320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19132422400

19132422400 is an abundant number, since it is smaller than the sum of its proper divisors (43823054051).

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

19132422400 is a wasteful number, since it uses less digits than its factorization.

19132422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 19132422400 its reverse (422423191), we get a palindrome (19554845591).

It can be divided in two parts, 19 and 132422400, that multiplied together give a square (2516025600 = 50160²).

The spelling of 19132422400 in words is "nineteen billion, one hundred thirty-two million, four hundred twenty-two thousand, four hundred".