394241414400 has 648 divisors, whose sum is σ = 1454012187264. Its totient is φ = 101857689600.

The previous prime is 394241414393. The next prime is 394241414453. The reversal of 394241414400 is 4414142493.

It is a happy number.

394241414400 is a `hidden beast` number, since 3 + 9 + 4 + 241 + 4 + 1 + 4 + 400 = 666.

It is a super-2 number, since 2×394241414400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289669720 + ... + 289671080.

It is an arithmetic number, because the mean of its divisors is an integer number (2243845968).

Almost surely, 2^394241414400 is an apocalyptic number.

394241414400 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 394241414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727006093632).

394241414400 is an abundant number, since it is smaller than the sum of its proper divisors (1059770772864).

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

394241414400 is a wasteful number, since it uses less digits than its factorization.

394241414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 394241414400 its reverse (4414142493), we get a palindrome (398655556893).

The spelling of 394241414400 in words is "three hundred ninety-four billion, two hundred forty-one million, four hundred fourteen thousand, four hundred".