3561343166040 has 512 divisors, whose sum is σ = 12427957785600. Its totient is φ = 808206336000.

The previous prime is 3561343166023. The next prime is 3561343166093. The reversal of 3561343166040 is 406613431653.

It is a super-2 number, since 2×3561343166040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3561343165983 and 3561343166001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255818280 + ... + 255832200.

It is an arithmetic number, because the mean of its divisors is an integer number (24273355050).

Almost surely, 2^{3561343166040} is an apocalyptic number.

3561343166040 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 3561343166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213978892800).

3561343166040 is an abundant number, since it is smaller than the sum of its proper divisors (8866614619560).

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

3561343166040 is a wasteful number, since it uses less digits than its factorization.

3561343166040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 14175 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 3561343166040 its reverse (406613431653), we get a palindrome (3967956597693).

The spelling of 3561343166040 in words is "three trillion, five hundred sixty-one billion, three hundred forty-three million, one hundred sixty-six thousand, forty".