1238639040 has 336 divisors, whose sum is σ = 4683081312. Its totient is φ = 310542336.

The previous prime is 1238638931. The next prime is 1238639063. The reversal of 1238639040 is 409368321.

1238639040 is a `hidden beast` number, since 12 + 3 + 8 + 639 + 0 + 4 + 0 = 666.

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 = 1238638986 and 1238639004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321452 + ... + 1322388.

It is an arithmetic number, because the mean of its divisors is an integer number (13937742).

Almost surely, 2^1238639040 is an apocalyptic number.

1238639040 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 1238639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341540656).

1238639040 is an abundant number, since it is smaller than the sum of its proper divisors (3444442272).

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

1238639040 is an equidigital number, since it uses as much as digits as its factorization.

1238639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1238639040 is about 35194.3040846101. The cubic root of 1238639040 is about 1073.9438814659.

The spelling of 1238639040 in words is "one billion, two hundred thirty-eight million, six hundred thirty-nine thousand, forty".