381318740880 has 480 divisors, whose sum is σ = 1515604245120. Its totient is φ = 78415626240.

The previous prime is 381318740857. The next prime is 381318740903. The reversal of 381318740880 is 88047813183.

It is an interprime number because it is at equal distance from previous prime (381318740857) and next prime (381318740903).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12532726 + ... + 12563114.

It is an arithmetic number, because the mean of its divisors is an integer number (3157508844).

Almost surely, 2^381318740880 is an apocalyptic number.

381318740880 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 381318740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757802122560).

381318740880 is an abundant number, since it is smaller than the sum of its proper divisors (1134285504240).

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

381318740880 is a wasteful number, since it uses less digits than its factorization.

381318740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30527 (or 30514 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 381318740880 in words is "three hundred eighty-one billion, three hundred eighteen million, seven hundred forty thousand, eight hundred eighty".