3412440103440 has 320 divisors, whose sum is σ = 10859751931392. Its totient is φ = 886140518400.

The previous prime is 3412440103427. The next prime is 3412440103469. The reversal of 3412440103440 is 443010442143.

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 = 3412440103398 and 3412440103407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617409957 + ... + 617415483.

Almost surely, 2^{3412440103440} is an apocalyptic number.

3412440103440 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 3412440103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429875965696).

3412440103440 is an abundant number, since it is smaller than the sum of its proper divisors (7447311827952).

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

3412440103440 is a wasteful number, since it uses less digits than its factorization.

3412440103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3412440103440 its reverse (443010442143), we get a palindrome (3855450545583).

The spelling of 3412440103440 in words is "three trillion, four hundred twelve billion, four hundred forty million, one hundred three thousand, four hundred forty".