1238640000 has 320 divisors, whose sum is σ = 4438766640. Its totient is φ = 304128000.

The previous prime is 1238639957. The next prime is 1238640019. The reversal of 1238640000 is 468321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 3119802 + ... + 3120198.

Almost surely, 2^1238640000 is an apocalyptic number.

1238640000 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 1238640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219383320).

1238640000 is an abundant number, since it is smaller than the sum of its proper divisors (3200126640).

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

1238640000 is an equidigital number, since it uses as much as digits as its factorization.

1238640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1238640000 is about 35194.3177231780. The cubic root of 1238640000 is about 1073.9441589171.

The spelling of 1238640000 in words is "one billion, two hundred thirty-eight million, six hundred forty thousand".