381583612800 has 1440 divisors, whose sum is σ = 1579564704960. Its totient is φ = 90574848000.

The previous prime is 381583612789. The next prime is 381583612853. The reversal of 381583612800 is 8216385183.

381583612800 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 8 + 361 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 1357948660 + ... + 1357948940.

It is an arithmetic number, because the mean of its divisors is an integer number (1096919934).

Almost surely, 2^381583612800 is an apocalyptic number.

381583612800 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 381583612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789782352480).

381583612800 is an abundant number, since it is smaller than the sum of its proper divisors (1197981092160).

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

381583612800 is a wasteful number, since it uses less digits than its factorization.

381583612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 381583612800 its reverse (8216385183), we get a palindrome (389799997983).

The spelling of 381583612800 in words is "three hundred eighty-one billion, five hundred eighty-three million, six hundred twelve thousand, eight hundred".