36321431040 has 240 divisors, whose sum is σ = 126792027648. Its totient is φ = 9608675328.

The previous prime is 36321431011. The next prime is 36321431051. The reversal of 36321431040 is 4013412363.

36321431040 is a `hidden beast` number, since 3 + 632 + 14 + 3 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 36321430995 and 36321431013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2919874 + ... + 2932286.

Almost surely, 2^36321431040 is an apocalyptic number.

36321431040 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 36321431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63396013824).

36321431040 is an abundant number, since it is smaller than the sum of its proper divisors (90470596608).

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

36321431040 is a wasteful number, since it uses less digits than its factorization.

36321431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 36321431040 in words is "thirty-six billion, three hundred twenty-one million, four hundred thirty-one thousand, forty".