36309872917440 has 672 divisors, whose sum is σ = 130525402550400. Its totient is φ = 9252847779840.

The previous prime is 36309872917421. The next prime is 36309872917453. The reversal of 36309872917440 is 4471927890363.

36309872917440 is a `hidden beast` number, since 3 + 6 + 30 + 9 + 8 + 72 + 91 + 7 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11862093510 + ... + 11862096570.

Almost surely, 2^{36309872917440} is an apocalyptic number.

36309872917440 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 36309872917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65262701275200).

36309872917440 is an abundant number, since it is smaller than the sum of its proper divisors (94215529632960).

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

36309872917440 is a wasteful number, since it uses less digits than its factorization.

36309872917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 36309872917440 in words is "thirty-six trillion, three hundred nine billion, eight hundred seventy-two million, nine hundred seventeen thousand, four hundred forty".