3405140531040 has 96 divisors (see below), whose sum is σ = 10774292530176. Its totient is φ = 903965529600.

The previous prime is 3405140531021. The next prime is 3405140531041. The reversal of 3405140531040 is 401350415043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3405140531040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3405140530989 and 3405140531007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405140531041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15798886 + ... + 16012965.

It is an arithmetic number, because the mean of its divisors is an integer number (112232213856).

Almost surely, 2^{3405140531040} is an apocalyptic number.

3405140531040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3405140531040 is an abundant number, since it is smaller than the sum of its proper divisors (7369151999136).

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

3405140531040 is a wasteful number, since it uses less digits than its factorization.

3405140531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31812092 (or 31812084 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 3405140531040 its reverse (401350415043), we get a palindrome (3806490946083).

The spelling of 3405140531040 in words is "three trillion, four hundred five billion, one hundred forty million, five hundred thirty-one thousand, forty".