9023414400 has 1152 divisors, whose sum is σ = 43368474240. Its totient is φ = 1725235200.

The previous prime is 9023414383. The next prime is 9023414417. The reversal of 9023414400 is 44143209.

It is an interprime number because it is at equal distance from previous prime (9023414383) and next prime (9023414417).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28828644 + ... + 28828956.

It is an arithmetic number, because the mean of its divisors is an integer number (37646245).

Almost surely, 2^9023414400 is an apocalyptic number.

9023414400 is a gapful number since it is divisible by the number (90) 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 9023414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684237120).

9023414400 is an abundant number, since it is smaller than the sum of its proper divisors (34345059840).

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

9023414400 is a wasteful number, since it uses less digits than its factorization.

9023414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 9023414400 is about 94991.6543702656. The cubic root of 9023414400 is about 2081.8861097027.

Adding to 9023414400 its reverse (44143209), we get a palindrome (9067557609).

The spelling of 9023414400 in words is "nine billion, twenty-three million, four hundred fourteen thousand, four hundred".