3135066334440 has 32 divisors (see below), whose sum is σ = 9405199003680. Its totient is φ = 836017689152.

The previous prime is 3135066334429. The next prime is 3135066334441. The reversal of 3135066334440 is 444336605313.

3135066334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3135066334440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3135066334392 and 3135066334401.

It is not an unprimeable number, because it can be changed into a prime (3135066334441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13062776274 + ... + 13062776513.

It is an arithmetic number, because the mean of its divisors is an integer number (293912468865).

Almost surely, 2^{3135066334440} is an apocalyptic number.

3135066334440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135066334440 is an abundant number, since it is smaller than the sum of its proper divisors (6270132669240).

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

3135066334440 is a wasteful number, since it uses less digits than its factorization.

3135066334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26125552801 (or 26125552797 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 3135066334440 in words is "three trillion, one hundred thirty-five billion, sixty-six million, three hundred thirty-four thousand, four hundred forty".