36419400000 has 252 divisors, whose sum is σ = 130485140604. Its totient is φ = 9711360000.

The previous prime is 36419399993. The next prime is 36419400029. The reversal of 36419400000 is 491463.

It can be written as a sum of positive squares in 6 ways, for example, as 29768671296 + 6650728704 = 172536^2 + 81552^2 .

It is a super-3 number, since 3×36419400000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1789884 + ... + 1810116.

It is an arithmetic number, because the mean of its divisors is an integer number (517798177).

Almost surely, 2^36419400000 is an apocalyptic number.

36419400000 is a gapful number since it is divisible by the number (30) 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 36419400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65242570302).

36419400000 is an abundant number, since it is smaller than the sum of its proper divisors (94065740604).

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

36419400000 is an equidigital number, since it uses as much as digits as its factorization.

36419400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20276 (or 20243 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 36419400000 its reverse (491463), we get a palindrome (36419891463).

The spelling of 36419400000 in words is "thirty-six billion, four hundred nineteen million, four hundred thousand".