4145499868200 has 192 divisors, whose sum is σ = 13267462494720. Its totient is φ = 1069656192000.

The previous prime is 4145499868199. The next prime is 4145499868253. The reversal of 4145499868200 is 28689945414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 203790030 + ... + 203810370.

It is an arithmetic number, because the mean of its divisors is an integer number (69101367160).

Almost surely, 2^{4145499868200} is an apocalyptic number.

4145499868200 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 4145499868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633731247360).

4145499868200 is an abundant number, since it is smaller than the sum of its proper divisors (9121962626520).

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

4145499868200 is a wasteful number, since it uses less digits than its factorization.

4145499868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31348 (or 31339 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 4145499868200 in words is "four trillion, one hundred forty-five billion, four hundred ninety-nine million, eight hundred sixty-eight thousand, two hundred".