36040562978112 has 2688 divisors, whose sum is σ = 143557511086080. Its totient is φ = 8693443584000.

The previous prime is 36040562978011. The next prime is 36040562978153. The reversal of 36040562978112 is 21187926504063.

It is a happy number.

36040562978112 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 0 + 5 + 629 + 7 + 8 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115886054437 + ... + 115886054747.

It is an arithmetic number, because the mean of its divisors is an integer number (53406812160).

It is a 1-persistent number, because it is pandigital, but 2⋅36040562978112 = 72081125956224 is not.

Almost surely, 2^{36040562978112} is an apocalyptic number.

36040562978112 is a gapful number since it is divisible by the number (32) 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 36040562978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71778755543040).

36040562978112 is an abundant number, since it is smaller than the sum of its proper divisors (107516948107968).

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

36040562978112 is a wasteful number, since it uses less digits than its factorization.

36040562978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 36040562978112 in words is "thirty-six trillion, forty billion, five hundred sixty-two million, nine hundred seventy-eight thousand, one hundred twelve".