4171616400 has 480 divisors, whose sum is σ = 16366952448. Its totient is φ = 886579200.

The previous prime is 4171616369. The next prime is 4171616419. The reversal of 4171616400 is 46161714.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18706689 + ... + 18706911.

Almost surely, 2^4171616400 is an apocalyptic number.

4171616400 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 4171616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183476224).

4171616400 is an abundant number, since it is smaller than the sum of its proper divisors (12195336048).

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

4171616400 is a wasteful number, since it uses less digits than its factorization.

4171616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4171616400 is about 64588.0515265788. The cubic root of 4171616400 is about 1609.7859108613.

The spelling of 4171616400 in words is "four billion, one hundred seventy-one million, six hundred sixteen thousand, four hundred".