3414430223040 has 224 divisors, whose sum is σ = 11299995143424. Its totient is φ = 872683130880.

The previous prime is 3414430222949. The next prime is 3414430223059. The reversal of 3414430223040 is 403220344143.

It is a happy number.

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 = 3414430222989 and 3414430223007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1662475 + ... + 3097205.

Almost surely, 2^{3414430223040} is an apocalyptic number.

3414430223040 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 3414430223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649997571712).

3414430223040 is an abundant number, since it is smaller than the sum of its proper divisors (7885564920384).

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

3414430223040 is a wasteful number, since it uses less digits than its factorization.

3414430223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434855 (or 1434845 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3414430223040 its reverse (403220344143), we get a palindrome (3817650567183).

The spelling of 3414430223040 in words is "three trillion, four hundred fourteen billion, four hundred thirty million, two hundred twenty-three thousand, forty".