1838017440 has 576 divisors, whose sum is σ = 7894454400. Its totient is φ = 397135872.

The previous prime is 1838017427. The next prime is 1838017481. The reversal of 1838017440 is 447108381.

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 = 1838017395 and 1838017404.

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 95 ways as a sum of consecutive naturals, for example, 4021692 + ... + 4022148.

It is an arithmetic number, because the mean of its divisors is an integer number (13705650).

Almost surely, 2^1838017440 is an apocalyptic number.

1838017440 is a gapful number since it is divisible by the number (10) 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 1838017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947227200).

1838017440 is an abundant number, since it is smaller than the sum of its proper divisors (6056436960).

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

1838017440 is a wasteful number, since it uses less digits than its factorization.

1838017440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1838017440 is about 42872.1056165894. The cubic root of 1838017440 is about 1224.9448682671.

The spelling of 1838017440 in words is "one billion, eight hundred thirty-eight million, seventeen thousand, four hundred forty".