4171008798720 has 1664 divisors, whose sum is σ = 16724423116800. Its totient is φ = 980995276800.

The previous prime is 4171008798683. The next prime is 4171008798751. The reversal of 4171008798720 is 278978001714.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9907384110 + ... + 9907384530.

Almost surely, 2^{4171008798720} is an apocalyptic number.

4171008798720 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 4171008798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8362211558400).

4171008798720 is an abundant number, since it is smaller than the sum of its proper divisors (12553414318080).

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

4171008798720 is a wasteful number, since it uses less digits than its factorization.

4171008798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 4171008798720 in words is "four trillion, one hundred seventy-one billion, eight million, seven hundred ninety-eight thousand, seven hundred twenty".