1638833040 has 160 divisors (see below), whose sum is σ = 6079194240. Its totient is φ = 403398144.

The previous prime is 1638833003. The next prime is 1638833041. The reversal of 1638833040 is 403388361.

It is a happy number.

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 = 1638832986 and 1638833004.

It is not an unprimeable number, because it can be changed into a prime (1638833041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102 + ... + 57261.

It is an arithmetic number, because the mean of its divisors is an integer number (37994964).

Almost surely, 2^1638833040 is an apocalyptic number.

1638833040 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 1638833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039597120).

1638833040 is an abundant number, since it is smaller than the sum of its proper divisors (4440361200).

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

1638833040 is a wasteful number, since it uses less digits than its factorization.

1638833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58398 (or 58386 counting only the distinct ones).

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

The square root of 1638833040 is about 40482.5028870499. The cubic root of 1638833040 is about 1178.9939332413.

The spelling of 1638833040 in words is "one billion, six hundred thirty-eight million, eight hundred thirty-three thousand, forty".