190471046400 has 540 divisors, whose sum is σ = 745719700572. Its totient is φ = 47802286080.

The previous prime is 190471046369. The next prime is 190471046429. The reversal of 190471046400 is 4640174091.

190471046400 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 7 + 1 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26854032384 + 163617014016 = 163872^2 + 404496^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8801994 + ... + 8823606.

Almost surely, 2^190471046400 is an apocalyptic number.

190471046400 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 190471046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372859850286).

190471046400 is an abundant number, since it is smaller than the sum of its proper divisors (555248654172).

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

190471046400 is a wasteful number, since it uses less digits than its factorization.

190471046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21668 (or 21640 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 190471046400 in words is "one hundred ninety billion, four hundred seventy-one million, forty-six thousand, four hundred".