1839218040 has 192 divisors, whose sum is σ = 6582232800. Its totient is φ = 441676800.

The previous prime is 1839218021. The next prime is 1839218071. The reversal of 1839218040 is 408129381.

1839218040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1839218040² = 6765445997322883200, which contains 22 as substring.

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 = 1839217986 and 1839218004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429510 + ... + 433770.

Almost surely, 2^1839218040 is an apocalyptic number.

1839218040 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 1839218040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291116400).

1839218040 is an abundant number, since it is smaller than the sum of its proper divisors (4743014760).

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

1839218040 is a wasteful number, since it uses less digits than its factorization.

1839218040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1839218040 is about 42886.1054422059. The cubic root of 1839218040 is about 1225.2115231017.

The spelling of 1839218040 in words is "one billion, eight hundred thirty-nine million, two hundred eighteen thousand, forty".