9475118888400 has 1920 divisors, whose sum is σ = 40146504744960. Its totient is φ = 2124714240000.

The previous prime is 9475118888329. The next prime is 9475118888429. The reversal of 9475118888400 is 48888115749.

9475118888400 is a `hidden beast` number, since 9 + 4 + 75 + 1 + 1 + 88 + 88 + 400 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6861055710 + ... + 6861057090.

It is an arithmetic number, because the mean of its divisors is an integer number (20909637888).

Almost surely, 2^{9475118888400} is an apocalyptic number.

9475118888400 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 9475118888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073252372480).

9475118888400 is an abundant number, since it is smaller than the sum of its proper divisors (30671385856560).

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

9475118888400 is a wasteful number, since it uses less digits than its factorization.

9475118888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 9475118888400 in words is "nine trillion, four hundred seventy-five billion, one hundred eighteen million, eight hundred eighty-eight thousand, four hundred".