385117286400 has 2184 divisors, whose sum is σ = 1811752742784. Its totient is φ = 78829977600.

The previous prime is 385117286377. The next prime is 385117286413. The reversal of 385117286400 is 4682711583.

385117286400 is a `hidden beast` number, since 3 + 8 + 511 + 72 + 8 + 64 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5748019167 + ... + 5748019233.

Almost surely, 2^385117286400 is an apocalyptic number.

385117286400 is a gapful number since it is divisible by the number (30) 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 385117286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905876371392).

385117286400 is an abundant number, since it is smaller than the sum of its proper divisors (1426635456384).

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

385117286400 is an equidigital number, since it uses as much as digits as its factorization.

385117286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 385117286400 its reverse (4682711583), we get a palindrome (389799997983).

The spelling of 385117286400 in words is "three hundred eighty-five billion, one hundred seventeen million, two hundred eighty-six thousand, four hundred".