194126400000 has 1440 divisors, whose sum is σ = 811602647856. Its totient is φ = 44236800000.

The previous prime is 194126399989. The next prime is 194126400043. The reversal of 194126400000 is 4621491.

194126400000 is a `hidden beast` number, since 1 + 9 + 4 + 12 + 640 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 192854479104 + 1271920896 = 439152^2 + 35664^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3182399970 + ... + 3182400030.

Almost surely, 2^194126400000 is an apocalyptic number.

194126400000 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 194126400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405801323928).

194126400000 is an abundant number, since it is smaller than the sum of its proper divisors (617476247856).

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

194126400000 is an equidigital number, since it uses as much as digits as its factorization.

194126400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 194126400000 in words is "one hundred ninety-four billion, one hundred twenty-six million, four hundred thousand".