36130961440 has 192 divisors, whose sum is σ = 99805305600. Its totient is φ = 12355338240.

The previous prime is 36130961429. The next prime is 36130961479. The reversal of 36130961440 is 4416903163.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36130961440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31335904 + ... + 31337056.

It is an arithmetic number, because the mean of its divisors is an integer number (519819300).

Almost surely, 2^36130961440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36130961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49902652800).

36130961440 is an abundant number, since it is smaller than the sum of its proper divisors (63674344160).

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

36130961440 is a wasteful number, since it uses less digits than its factorization.

36130961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 36130961440 in words is "thirty-six billion, one hundred thirty million, nine hundred sixty-one thousand, four hundred forty".