380134081404 has 768 divisors, whose sum is σ = 1356472320000. Its totient is φ = 90942808320.

The previous prime is 380134081303. The next prime is 380134081421. The reversal of 380134081404 is 404180431083.

380134081404 is a `hidden beast` number, since 380 + 134 + 0 + 8 + 140 + 4 = 666.

It is a super-2 number, since 2×380134081404² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 286460589 + ... + 286461915.

It is an arithmetic number, because the mean of its divisors is an integer number (1766240000).

Almost surely, 2^380134081404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380134081404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678236160000).

380134081404 is an abundant number, since it is smaller than the sum of its proper divisors (976338238596).

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

380134081404 is a wasteful number, since it uses less digits than its factorization.

380134081404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 380134081404 in words is "three hundred eighty billion, one hundred thirty-four million, eighty-one thousand, four hundred four".