3414037660440 has 256 divisors, whose sum is σ = 11492354373120. Its totient is φ = 804072407040.

The previous prime is 3414037660387. The next prime is 3414037660589. The reversal of 3414037660440 is 440667304143.

It is a junction number, because it is equal to n+sod(n) for n = 3414037660392 and 3414037660401.

It is a congruent number.

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, 32817387 + ... + 32921253.

It is an arithmetic number, because the mean of its divisors is an integer number (44892009270).

Almost surely, 2^{3414037660440} is an apocalyptic number.

3414037660440 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 3414037660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746177186560).

3414037660440 is an abundant number, since it is smaller than the sum of its proper divisors (8078316712680).

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

3414037660440 is a wasteful number, since it uses less digits than its factorization.

3414037660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104602 (or 104598 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 3414037660440 in words is "three trillion, four hundred fourteen billion, thirty-seven million, six hundred sixty thousand, four hundred forty".