36135280440 has 128 divisors (see below), whose sum is σ = 137658240000. Its totient is φ = 8259490944.

The previous prime is 36135280367. The next prime is 36135280481. The reversal of 36135280440 is 4408253163.

36135280440 is a `hidden beast` number, since 3 + 6 + 135 + 2 + 80 + 440 = 666.

36135280440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 36135280395 and 36135280404.

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, 2382340 + ... + 2397459.

It is an arithmetic number, because the mean of its divisors is an integer number (1075455000).

Almost surely, 2^36135280440 is an apocalyptic number.

36135280440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36135280440 is an abundant number, since it is smaller than the sum of its proper divisors (101522959560).

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

36135280440 is a wasteful number, since it uses less digits than its factorization.

36135280440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779826 (or 4779816 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36135280440 in words is "thirty-six billion, one hundred thirty-five million, two hundred eighty thousand, four hundred forty".