36060438295440 has 1600 divisors, whose sum is σ = 144697058795520. Its totient is φ = 8253772369920.

The previous prime is 36060438295411. The next prime is 36060438295481. The reversal of 36060438295440 is 4459283406063.

36060438295440 is a `hidden beast` number, since 3 + 6 + 0 + 60 + 4 + 38 + 2 + 9 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19911892135 + ... + 19911893945.

Almost surely, 2^{36060438295440} is an apocalyptic number.

36060438295440 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 36060438295440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72348529397760).

36060438295440 is an abundant number, since it is smaller than the sum of its proper divisors (108636620500080).

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

36060438295440 is a wasteful number, since it uses less digits than its factorization.

36060438295440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 36060438295440 in words is "thirty-six trillion, sixty billion, four hundred thirty-eight million, two hundred ninety-five thousand, four hundred forty".