36113461440 has 448 divisors, whose sum is σ = 135184896000. Its totient is φ = 7997128704.

The previous prime is 36113461427. The next prime is 36113461441. The reversal of 36113461440 is 4416431163.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (36113461441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34426036 + ... + 34427084.

It is an arithmetic number, because the mean of its divisors is an integer number (301752000).

Almost surely, 2^36113461440 is an apocalyptic number.

36113461440 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 36113461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448000).

36113461440 is an abundant number, since it is smaller than the sum of its proper divisors (99071434560).

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

36113461440 is a wasteful number, since it uses less digits than its factorization.

36113461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 36113461440 in words is "thirty-six billion, one hundred thirteen million, four hundred sixty-one thousand, four hundred forty".