381037789440 has 1080 divisors, whose sum is σ = 1713124311360. Its totient is φ = 79158435840.

The previous prime is 381037789397. The next prime is 381037789471. The reversal of 381037789440 is 44987730183.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 87814791 + ... + 87819129.

Almost surely, 2^381037789440 is an apocalyptic number.

381037789440 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 381037789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856562155680).

381037789440 is an abundant number, since it is smaller than the sum of its proper divisors (1332086521920).

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

381037789440 is a wasteful number, since it uses less digits than its factorization.

381037789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 381037789440 in words is "three hundred eighty-one billion, thirty-seven million, seven hundred eighty-nine thousand, four hundred forty".