36231434361240 has 512 divisors, whose sum is σ = 121462830720000. Its totient is φ = 8608334192640.

The previous prime is 36231434361173. The next prime is 36231434361253. The reversal of 36231434361240 is 4216343413263.

It is a junction number, because it is equal to n+sod(n) for n = 36231434361192 and 36231434361201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 487068850 + ... + 487143230.

It is an arithmetic number, because the mean of its divisors is an integer number (237232091250).

Almost surely, 2^{36231434361240} is an apocalyptic number.

36231434361240 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 36231434361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60731415360000).

36231434361240 is an abundant number, since it is smaller than the sum of its proper divisors (85231396358760).

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

36231434361240 is a wasteful number, since it uses less digits than its factorization.

36231434361240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74635 (or 74631 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 36231434361240 in words is "thirty-six trillion, two hundred thirty-one billion, four hundred thirty-four million, three hundred sixty-one thousand, two hundred forty".