36040315328640 has 1152 divisors, whose sum is σ = 151315841214720. Its totient is φ = 7866526187520.

The previous prime is 36040315328623. The next prime is 36040315328669. The reversal of 36040315328640 is 4682351304063.

36040315328640 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 0 + 31 + 532 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4200009150 + ... + 4200017730.

It is an arithmetic number, because the mean of its divisors is an integer number (131350556610).

Almost surely, 2^{36040315328640} is an apocalyptic number.

36040315328640 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 36040315328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657920607360).

36040315328640 is an abundant number, since it is smaller than the sum of its proper divisors (115275525886080).

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

36040315328640 is a wasteful number, since it uses less digits than its factorization.

36040315328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9290 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 36040315328640 in words is "thirty-six trillion, forty billion, three hundred fifteen million, three hundred twenty-eight thousand, six hundred forty".