9249321200400 has 360 divisors, whose sum is σ = 32692386005760. Its totient is φ = 2420959104000.

The previous prime is 9249321200387. The next prime is 9249321200423. The reversal of 9249321200400 is 40021239429.

9249321200400 is a `hidden beast` number, since 9 + 2 + 49 + 3 + 2 + 1 + 200 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105144435 + ... + 105232365.

Almost surely, 2^{9249321200400} is an apocalyptic number.

9249321200400 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 9249321200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346193002880).

9249321200400 is an abundant number, since it is smaller than the sum of its proper divisors (23443064805360).

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

9249321200400 is a wasteful number, since it uses less digits than its factorization.

9249321200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88495 (or 88481 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 9249321200400 its reverse (40021239429), we get a palindrome (9289342439829).

The spelling of 9249321200400 in words is "nine trillion, two hundred forty-nine billion, three hundred twenty-one million, two hundred thousand, four hundred".