385421414400 has 2496 divisors, whose sum is σ = 1755101952000. Its totient is φ = 81749606400.

The previous prime is 385421414383. The next prime is 385421414407. The reversal of 385421414400 is 4414124583.

385421414400 is a `hidden beast` number, since 38 + 5 + 4 + 214 + 1 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385421414407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13290393586 + ... + 13290393614.

Almost surely, 2^385421414400 is an apocalyptic number.

385421414400 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 385421414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877550976000).

385421414400 is an abundant number, since it is smaller than the sum of its proper divisors (1369680537600).

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

385421414400 is a wasteful number, since it uses less digits than its factorization.

385421414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 385421414400 its reverse (4414124583), we get a palindrome (389835538983).

The spelling of 385421414400 in words is "three hundred eighty-five billion, four hundred twenty-one million, four hundred fourteen thousand, four hundred".