381604794480 has 960 divisors, whose sum is σ = 1647254568960. Its totient is φ = 77005209600.

The previous prime is 381604794463. The next prime is 381604794491. The reversal of 381604794480 is 84497406183.

381604794480 is a `hidden beast` number, since 3 + 8 + 160 + 479 + 4 + 4 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180768625 + ... + 180770735.

It is an arithmetic number, because the mean of its divisors is an integer number (1715890176).

Almost surely, 2^381604794480 is an apocalyptic number.

381604794480 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 381604794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823627284480).

381604794480 is an abundant number, since it is smaller than the sum of its proper divisors (1265649774480).

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

381604794480 is a wasteful number, since it uses less digits than its factorization.

381604794480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 381604794480 in words is "three hundred eighty-one billion, six hundred four million, seven hundred ninety-four thousand, four hundred eighty".