381281846400 has 2592 divisors, whose sum is σ = 1834261528320. Its totient is φ = 73753804800.

The previous prime is 381281846333. The next prime is 381281846423. The reversal of 381281846400 is 4648182183.

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 323 ways as a sum of consecutive naturals, for example, 12299414385 + ... + 12299414415.

Almost surely, 2^381281846400 is an apocalyptic number.

381281846400 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 381281846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917130764160).

381281846400 is an abundant number, since it is smaller than the sum of its proper divisors (1452979681920).

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

381281846400 is a wasteful number, since it uses less digits than its factorization.

381281846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 381281846400 in words is "three hundred eighty-one billion, two hundred eighty-one million, eight hundred forty-six thousand, four hundred".