36130406400 has 945 divisors, whose sum is σ = 147662486713. Its totient is φ = 8758886400.

The previous prime is 36130406363. The next prime is 36130406419. The reversal of 36130406400 is 460403163.

The square root of 36130406400 is 190080.

It is a perfect power (a square), and thus also a powerful number.

36130406400 is a `hidden beast` number, since 3 + 6 + 13 + 0 + 4 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13006946304 + 23123460096 = 114048^2 + 152064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3284582395 + ... + 3284582405.

Almost surely, 2^36130406400 is an apocalyptic number.

36130406400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36130406400 is the 190080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36130406400

36130406400 is an abundant number, since it is smaller than the sum of its proper divisors (111532080313).

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

36130406400 is an frugal number, since it uses more digits than its factorization.

36130406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Multiplying 36130406400 by its product of nonzero digits (5184), we get a square (187300026777600 = 13685760²).

36130406400 divided by its product of nonzero digits (5184) gives a square (6969600 = 2640²).

Adding to 36130406400 its reverse (460403163), we get a palindrome (36590809563).

The spelling of 36130406400 in words is "thirty-six billion, one hundred thirty million, four hundred six thousand, four hundred".