36295801440 has 192 divisors, whose sum is σ = 119498016960. Its totient is φ = 9248440320.

The previous prime is 36295801439. The next prime is 36295801447. The reversal of 36295801440 is 4410859263.

36295801440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36295801392 and 36295801401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36295801447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336800 + ... + 1363680.

It is an arithmetic number, because the mean of its divisors is an integer number (622385505).

Almost surely, 2^36295801440 is an apocalyptic number.

36295801440 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 36295801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59749008480).

36295801440 is an abundant number, since it is smaller than the sum of its proper divisors (83202215520).

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

36295801440 is a wasteful number, since it uses less digits than its factorization.

36295801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27025 (or 27017 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 36295801440 in words is "thirty-six billion, two hundred ninety-five million, eight hundred one thousand, four hundred forty".