381409820064 has 768 divisors, whose sum is σ = 1452971520000. Its totient is φ = 94521323520.

The previous prime is 381409820021. The next prime is 381409820101. The reversal of 381409820064 is 460028904183.

It is a happy number.

381409820064 is a `hidden beast` number, since 38 + 1 + 409 + 8 + 200 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195694162 + ... + 195696110.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890000).

Almost surely, 2^381409820064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381409820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760000).

381409820064 is an abundant number, since it is smaller than the sum of its proper divisors (1071561699936).

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

381409820064 is a wasteful number, since it uses less digits than its factorization.

381409820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 381409820064 in words is "three hundred eighty-one billion, four hundred nine million, eight hundred twenty thousand, sixty-four".