3417430494240 has 288 divisors, whose sum is σ = 13334949927936. Its totient is φ = 780718417920.

The previous prime is 3417430494197. The next prime is 3417430494251. The reversal of 3417430494240 is 424940347143.

3417430494240 is a `hidden beast` number, since 3 + 4 + 17 + 4 + 304 + 94 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3417430494240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19396945 + ... + 19572335.

It is an arithmetic number, because the mean of its divisors is an integer number (46301909472).

Almost surely, 2^{3417430494240} is an apocalyptic number.

3417430494240 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 3417430494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667474963968).

3417430494240 is an abundant number, since it is smaller than the sum of its proper divisors (9917519433696).

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

3417430494240 is a wasteful number, since it uses less digits than its factorization.

3417430494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177352 (or 177341 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3417430494240 in words is "three trillion, four hundred seventeen billion, four hundred thirty million, four hundred ninety-four thousand, two hundred forty".