381103662240 has 432 divisors, whose sum is σ = 1516943544480. Its totient is φ = 86873472000.

The previous prime is 381103662229. The next prime is 381103662257. The reversal of 381103662240 is 42266301183.

381103662240 is a `hidden beast` number, since 381 + 1 + 0 + 36 + 6 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 381103662195 and 381103662204.

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 71 ways as a sum of consecutive naturals, for example, 26735115 + ... + 26749365.

It is an arithmetic number, because the mean of its divisors is an integer number (3511443390).

Almost surely, 2^381103662240 is an apocalyptic number.

381103662240 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 381103662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758471772240).

381103662240 is an abundant number, since it is smaller than the sum of its proper divisors (1135839882240).

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

381103662240 is a wasteful number, since it uses less digits than its factorization.

381103662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665 (or 14647 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 381103662240 in words is "three hundred eighty-one billion, one hundred three million, six hundred sixty-two thousand, two hundred forty".