1838399040 has 168 divisors, whose sum is σ = 6695465400. Its totient is φ = 461389824.

The previous prime is 1838399021. The next prime is 1838399053. The reversal of 1838399040 is 409938381.

1838399040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 230068224 + 1608330816 = 15168^2 + 40104^2 .

It is a super-2 number, since 2×1838399040² = 6759422060545843200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 30186 + ... + 67734.

Almost surely, 2^1838399040 is an apocalyptic number.

1838399040 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 1838399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347732700).

1838399040 is an abundant number, since it is smaller than the sum of its proper divisors (4857066360).

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

1838399040 is a wasteful number, since it uses less digits than its factorization.

1838399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37589 (or 37576 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1838399040 is about 42876.5558318296. Note that the first 3 decimals coincide. The cubic root of 1838399040 is about 1225.0296347128.

The spelling of 1838399040 in words is "one billion, eight hundred thirty-eight million, three hundred ninety-nine thousand, forty".