19471082400 has 1152 divisors, whose sum is σ = 91794124800. Its totient is φ = 3862425600.

The previous prime is 19471082329. The next prime is 19471082417. The reversal of 19471082400 is 428017491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38253346 + ... + 38253854.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^19471082400 is an apocalyptic number.

19471082400 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 19471082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45897062400).

19471082400 is an abundant number, since it is smaller than the sum of its proper divisors (72323042400).

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

19471082400 is a wasteful number, since it uses less digits than its factorization.

19471082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 19471082400 its reverse (428017491), we get a palindrome (19899099891).

The spelling of 19471082400 in words is "nineteen billion, four hundred seventy-one million, eighty-two thousand, four hundred".