36124835040 has 288 divisors, whose sum is σ = 142001233920. Its totient is φ = 8191798272.

The previous prime is 36124834997. The next prime is 36124835051. The reversal of 36124835040 is 4053842163.

36124835040 is a `hidden beast` number, since 3 + 61 + 248 + 350 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36124834986 and 36124835004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266051 + ... + 1294269.

It is an arithmetic number, because the mean of its divisors is an integer number (493059840).

Almost surely, 2^36124835040 is an apocalyptic number.

36124835040 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 36124835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71000616960).

36124835040 is an abundant number, since it is smaller than the sum of its proper divisors (105876398880).

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

36124835040 is a wasteful number, since it uses less digits than its factorization.

36124835040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28374 (or 28363 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36124835040 in words is "thirty-six billion, one hundred twenty-four million, eight hundred thirty-five thousand, forty".