382412612400 has 960 divisors, whose sum is σ = 1598980992000. Its totient is φ = 75863900160.

The previous prime is 382412612371. The next prime is 382412612423. The reversal of 382412612400 is 4216214283.

It is a super-2 number, since 2×382412612400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309144582 + ... + 309145818.

It is an arithmetic number, because the mean of its divisors is an integer number (1665605200).

Almost surely, 2^382412612400 is an apocalyptic number.

382412612400 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 382412612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799490496000).

382412612400 is an abundant number, since it is smaller than the sum of its proper divisors (1216568379600).

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

382412612400 is a wasteful number, since it uses less digits than its factorization.

382412612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 382412612400 its reverse (4216214283), we get a palindrome (386628826683).

The spelling of 382412612400 in words is "three hundred eighty-two billion, four hundred twelve million, six hundred twelve thousand, four hundred".