36033085440 has 480 divisors, whose sum is σ = 139854798720. Its totient is φ = 8729395200.

The previous prime is 36033085373. The next prime is 36033085469. The reversal of 36033085440 is 4458033063.

36033085440 is a `hidden beast` number, since 3 + 603 + 3 + 0 + 8 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36033085395 and 36033085404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24329500 + ... + 24330980.

It is an arithmetic number, because the mean of its divisors is an integer number (291364164).

Almost surely, 2^36033085440 is an apocalyptic number.

36033085440 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 36033085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69927399360).

36033085440 is an abundant number, since it is smaller than the sum of its proper divisors (103821713280).

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

36033085440 is a wasteful number, since it uses less digits than its factorization.

36033085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 36033085440 in words is "thirty-six billion, thirty-three million, eighty-five thousand, four hundred forty".