1868423040 has 384 divisors, whose sum is σ = 7237732320. Its totient is φ = 440156160.

The previous prime is 1868422981. The next prime is 1868423059. The reversal of 1868423040 is 403248681.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1868422986 and 1868423004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2343922 + ... + 2344718.

Almost surely, 2^1868423040 is an apocalyptic number.

1868423040 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 1868423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618866160).

1868423040 is an abundant number, since it is smaller than the sum of its proper divisors (5369309280).

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

1868423040 is a wasteful number, since it uses less digits than its factorization.

1868423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1868423040 is about 43225.2592820448. The cubic root of 1868423040 is about 1231.6625544588.

The spelling of 1868423040 in words is "one billion, eight hundred sixty-eight million, four hundred twenty-three thousand, forty".