19197942413400 has 384 divisors, whose sum is σ = 70127197286400. Its totient is φ = 4810656614400.

The previous prime is 19197942413389. The next prime is 19197942413471. The reversal of 19197942413400 is 431424979191.

It is a happy number.

19197942413400 is a `hidden beast` number, since 1 + 9 + 19 + 79 + 424 + 134 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57760089 + ... + 58091511.

It is an arithmetic number, because the mean of its divisors is an integer number (182622909600).

Almost surely, 2^{19197942413400} is an apocalyptic number.

19197942413400 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 19197942413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35063598643200).

19197942413400 is an abundant number, since it is smaller than the sum of its proper divisors (50929254873000).

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

19197942413400 is a wasteful number, since it uses less digits than its factorization.

19197942413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332096 (or 332081 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19197942413400 in words is "nineteen trillion, one hundred ninety-seven billion, nine hundred forty-two million, four hundred thirteen thousand, four hundred".