19400102400 has 240 divisors, whose sum is σ = 73243329984. Its totient is φ = 4434247680.

The previous prime is 19400102387. The next prime is 19400102413. The reversal of 19400102400 is 420100491.

It is an interprime number because it is at equal distance from previous prime (19400102387) and next prime (19400102413).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232714 + ... + 304886.

Almost surely, 2^19400102400 is an apocalyptic number.

19400102400 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 19400102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36621664992).

19400102400 is an abundant number, since it is smaller than the sum of its proper divisors (53843227584).

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

19400102400 is an equidigital number, since it uses as much as digits as its factorization.

19400102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72211 (or 72190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 19400102400 its reverse (420100491), we get a palindrome (19820202891).

The spelling of 19400102400 in words is "nineteen billion, four hundred million, one hundred two thousand, four hundred".