19449830400 has 1584 divisors, whose sum is σ = 90744525312. Its totient is φ = 3568435200.

The previous prime is 19449830369. The next prime is 19449830429. The reversal of 19449830400 is 403894491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 845644789 + ... + 845644811.

Almost surely, 2^19449830400 is an apocalyptic number.

19449830400 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 19449830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372262656).

19449830400 is an abundant number, since it is smaller than the sum of its proper divisors (71294694912).

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

19449830400 is a wasteful number, since it uses less digits than its factorization.

19449830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

It can be divided in two parts, 1944 and 9830400, that multiplied together give a square (19110297600 = 138240²).

The spelling of 19449830400 in words is "nineteen billion, four hundred forty-nine million, eight hundred thirty thousand, four hundred".