385290168110400 has 672 divisors, whose sum is σ = 1451301573611520. Its totient is φ = 87661437050880.

The previous prime is 385290168110389. The next prime is 385290168110531. The reversal of 385290168110400 is 4011861092583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 385290168110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22509202642 + ... + 22509219758.

Almost surely, 2^{385290168110400} is an apocalyptic number.

385290168110400 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 385290168110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725650786805760).

385290168110400 is an abundant number, since it is smaller than the sum of its proper divisors (1066011405501120).

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

385290168110400 is a wasteful number, since it uses less digits than its factorization.

385290168110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20191 (or 20176 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 385290168110400 in words is "three hundred eighty-five trillion, two hundred ninety billion, one hundred sixty-eight million, one hundred ten thousand, four hundred".