9249445220400 has 1920 divisors, whose sum is σ = 42066964684800. Its totient is φ = 1874675404800.

The previous prime is 9249445220297. The next prime is 9249445220443. The reversal of 9249445220400 is 40225449429.

It is a happy number.

9249445220400 is a `hidden beast` number, since 9 + 2 + 49 + 44 + 522 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6073174039 + ... + 6073175561.

It is an arithmetic number, because the mean of its divisors is an integer number (21909877440).

Almost surely, 2^{9249445220400} is an apocalyptic number.

9249445220400 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 9249445220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033482342400).

9249445220400 is an abundant number, since it is smaller than the sum of its proper divisors (32817519464400).

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

9249445220400 is a wasteful number, since it uses less digits than its factorization.

9249445220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 9249445220400 in words is "nine trillion, two hundred forty-nine billion, four hundred forty-five million, two hundred twenty thousand, four hundred".