4317013428480 has 576 divisors, whose sum is σ = 15605323856640. Its totient is φ = 1144020049920.

The previous prime is 4317013428439. The next prime is 4317013428487. The reversal of 4317013428480 is 848243107134.

4317013428480 is a `hidden beast` number, since 4 + 3 + 17 + 0 + 134 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4317013428480² (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 not an unprimeable number, because it can be changed into a prime (4317013428487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456290950 + ... + 456300410.

It is an arithmetic number, because the mean of its divisors is an integer number (27092576140).

Almost surely, 2^{4317013428480} is an apocalyptic number.

4317013428480 is a gapful number since it is divisible by the number (40) 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 4317013428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802661928320).

4317013428480 is an abundant number, since it is smaller than the sum of its proper divisors (11288310428160).

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

4317013428480 is an frugal number, since it uses more digits than its factorization.

4317013428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4317013428480 in words is "four trillion, three hundred seventeen billion, thirteen million, four hundred twenty-eight thousand, four hundred eighty".