19619406400 has 168 divisors, whose sum is σ = 52780996800. Its totient is φ = 7118592000.

The previous prime is 19619406397. The next prime is 19619406419. The reversal of 19619406400 is 460491691.

It is a super-2 number, since 2×19619406400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 10541470 + ... + 10543330.

It is an arithmetic number, because the mean of its divisors is an integer number (314172600).

Almost surely, 2^19619406400 is an apocalyptic number.

19619406400 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 19619406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390498400).

19619406400 is an abundant number, since it is smaller than the sum of its proper divisors (33161590400).

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

19619406400 is a wasteful number, since it uses less digits than its factorization.

19619406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 19619406400 in words is "nineteen billion, six hundred nineteen million, four hundred six thousand, four hundred".