9249384038400 has 1449 divisors, whose sum is σ = 37802745740473. Its totient is φ = 2242274918400.

The previous prime is 9249384038381. The next prime is 9249384038437. The reversal of 9249384038400 is 48304839429.

The square root of 9249384038400 is 3041280.

It is a perfect power (a square), and thus also a powerful number.

9249384038400 is a `hidden beast` number, since 9 + 2 + 493 + 84 + 0 + 38 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3329778253824 + 5919605784576 = 1824768^2 + 2433024^2 .

It is a super-2 number, since 2×9249384038400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 840853094395 + ... + 840853094405.

Almost surely, 2^{9249384038400} is an apocalyptic number.

9249384038400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9249384038400 is the 3041280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9249384038400

9249384038400 is an abundant number, since it is smaller than the sum of its proper divisors (28553361702073).

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

9249384038400 is an frugal number, since it uses more digits than its factorization.

9249384038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 9249384038400 in words is "nine trillion, two hundred forty-nine billion, three hundred eighty-four million, thirty-eight thousand, four hundred".