381390024960 has 576 divisors, whose sum is σ = 1549325836800. Its totient is φ = 87029710848.

The previous prime is 381390024947. The next prime is 381390025013. The reversal of 381390024960 is 69420093183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×381390024960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 224742832 + ... + 224744528.

It is an arithmetic number, because the mean of its divisors is an integer number (2689801800).

Almost surely, 2^381390024960 is an apocalyptic number.

381390024960 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 381390024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774662918400).

381390024960 is an abundant number, since it is smaller than the sum of its proper divisors (1167935811840).

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

381390024960 is a wasteful number, since it uses less digits than its factorization.

381390024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 381390024960 in words is "three hundred eighty-one billion, three hundred ninety million, twenty-four thousand, nine hundred sixty".