19840094400 has 336 divisors, whose sum is σ = 77628317184. Its totient is φ = 4337541120.

The previous prime is 19840094399. The next prime is 19840094431. The reversal of 19840094400 is 449004891.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×19840094400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759964 + ... + 785636.

Almost surely, 2^19840094400 is an apocalyptic number.

19840094400 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 19840094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38814158592).

19840094400 is an abundant number, since it is smaller than the sum of its proper divisors (57788222784).

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

19840094400 is a wasteful number, since it uses less digits than its factorization.

19840094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25728 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 19840094400 in words is "nineteen billion, eight hundred forty million, ninety-four thousand, four hundred".