4816172400 has 480 divisors, whose sum is σ = 17937518592. Its totient is φ = 1094860800.

The previous prime is 4816172393. The next prime is 4816172443. The reversal of 4816172400 is 42716184.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 11122584 + ... + 11123016.

Almost surely, 2^4816172400 is an apocalyptic number.

4816172400 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 4816172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968759296).

4816172400 is an abundant number, since it is smaller than the sum of its proper divisors (13121346192).

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

4816172400 is a wasteful number, since it uses less digits than its factorization.

4816172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4816172400 is about 69398.6484018241. The cubic root of 4816172400 is about 1688.7576972450.

Adding to 4816172400 its reverse (42716184), we get a palindrome (4858888584).

The spelling of 4816172400 in words is "four billion, eight hundred sixteen million, one hundred seventy-two thousand, four hundred".