9478886288400 has 675 divisors, whose sum is σ = 34747748195511. Its totient is φ = 2392877076480.

The previous prime is 9478886288393. The next prime is 9478886288449. The reversal of 9478886288400 is 48826888749.

The square root of 9478886288400 is 3078780.

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

9478886288400 is a `hidden beast` number, since 9 + 4 + 7 + 8 + 88 + 62 + 88 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348529652496 + 9130356635904 = 590364^2 + 3021648^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 97720477152 + ... + 97720477248.

Almost surely, 2^{9478886288400} is an apocalyptic number.

9478886288400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9478886288400 is the 3078780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9478886288400

9478886288400 is an abundant number, since it is smaller than the sum of its proper divisors (25268861907111).

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

9478886288400 is an frugal number, since it uses more digits than its factorization.

9478886288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 9478886288400 in words is "nine trillion, four hundred seventy-eight billion, eight hundred eighty-six million, two hundred eighty-eight thousand, four hundred".