380322580811040 has 1152 divisors, whose sum is σ = 1554307354349568. Its totient is φ = 86021197516800.

The previous prime is 380322580810967. The next prime is 380322580811071. The reversal of 380322580811040 is 40118085223083.

380322580811040 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 22 + 580 + 8 + 1 + 1 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72761156907 + ... + 72761162133.

It is an arithmetic number, because the mean of its divisors is an integer number (1349225133984).

Almost surely, 2^{380322580811040} is an apocalyptic number.

380322580811040 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 380322580811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777153677174784).

380322580811040 is an abundant number, since it is smaller than the sum of its proper divisors (1173984773538528).

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

380322580811040 is a wasteful number, since it uses less digits than its factorization.

380322580811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 380322580811040 in words is "three hundred eighty trillion, three hundred twenty-two billion, five hundred eighty million, eight hundred eleven thousand, forty".