99441812400 has 960 divisors, whose sum is σ = 401498112000. Its totient is φ = 20528640000.

The previous prime is 99441812389. The next prime is 99441812411. The reversal of 99441812400 is 421814499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99441812389) and next prime (99441812411).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 499707501 + ... + 499707699.

It is an arithmetic number, because the mean of its divisors is an integer number (418227200).

Almost surely, 2^99441812400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99441812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200749056000).

99441812400 is an abundant number, since it is smaller than the sum of its proper divisors (302056299600).

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

99441812400 is a wasteful number, since it uses less digits than its factorization.

99441812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 99441812400 in words is "ninety-nine billion, four hundred forty-one million, eight hundred twelve thousand, four hundred".