36120110400 has 504 divisors, whose sum is σ = 143858735904. Its totient is φ = 8518348800.

The previous prime is 36120110371. The next prime is 36120110419. The reversal of 36120110400 is 401102163.

It is a happy number.

36120110400 is a `hidden beast` number, since 3 + 61 + 201 + 1 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5857719 + ... + 5863881.

Almost surely, 2^36120110400 is an apocalyptic number.

36120110400 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 36120110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71929367952).

36120110400 is an abundant number, since it is smaller than the sum of its proper divisors (107738625504).

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

36120110400 is a wasteful number, since it uses less digits than its factorization.

36120110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 36120110400 its reverse (401102163), we get a palindrome (36521212563).

The spelling of 36120110400 in words is "thirty-six billion, one hundred twenty million, one hundred ten thousand, four hundred".