382568231485440 has 5760 divisors, whose sum is σ = 1878988969009152. Its totient is φ = 72099330785280.

The previous prime is 382568231485423. The next prime is 382568231485483. The reversal of 382568231485440 is 44584132865283.

382568231485440 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 6 + 82 + 3 + 1 + 4 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1454632058749 + ... + 1454632059011.

Almost surely, 2^{382568231485440} is an apocalyptic number.

382568231485440 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 382568231485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939494484504576).

382568231485440 is an abundant number, since it is smaller than the sum of its proper divisors (1496420737523712).

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

382568231485440 is a wasteful number, since it uses less digits than its factorization.

382568231485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 382568231485440 in words is "three hundred eighty-two trillion, five hundred sixty-eight billion, two hundred thirty-one million, four hundred eighty-five thousand, four hundred forty".