3605226413040 has 240 divisors, whose sum is σ = 14438820284928. Its totient is φ = 788223389184.

The previous prime is 3605226413029. The next prime is 3605226413053. The reversal of 3605226413040 is 403146225063.

3605226413040 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 2 + 2 + 641 + 3 + 0 + 4 + 0 = 666.

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

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 = 3605226412986 and 3605226413004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15434574 + ... + 15666413.

Almost surely, 2^{3605226413040} is an apocalyptic number.

3605226413040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3605226413040 is an abundant number, since it is smaller than the sum of its proper divisors (10833593871888).

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

3605226413040 is a wasteful number, since it uses less digits than its factorization.

3605226413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31101036 (or 31101027 counting only the distinct ones).

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

The spelling of 3605226413040 in words is "three trillion, six hundred five billion, two hundred twenty-six million, four hundred thirteen thousand, forty".