99006417400 has 192 divisors, whose sum is σ = 260983296000. Its totient is φ = 34603584000.

The previous prime is 99006417373. The next prime is 99006417409. The reversal of 99006417400 is 471460099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99006417409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10156929 + ... + 10166671.

It is an arithmetic number, because the mean of its divisors is an integer number (1359288000).

Almost surely, 2^99006417400 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 99006417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491648000).

99006417400 is an abundant number, since it is smaller than the sum of its proper divisors (161976878600).

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

99006417400 is a wasteful number, since it uses less digits than its factorization.

99006417400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

Adding to 99006417400 its reverse (471460099), we get a palindrome (99477877499).

The spelling of 99006417400 in words is "ninety-nine billion, six million, four hundred seventeen thousand, four hundred".