1238209440 has 384 divisors, whose sum is σ = 4478810112. Its totient is φ = 285327360.

The previous prime is 1238209411. The next prime is 1238209481. The reversal of 1238209440 is 449028321.

It is a super-4 number, since 4×1238209440⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7157194 + ... + 7157366.

It is an arithmetic number, because the mean of its divisors is an integer number (11663568).

Almost surely, 2^1238209440 is an apocalyptic number.

1238209440 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 1238209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239405056).

1238209440 is an abundant number, since it is smaller than the sum of its proper divisors (3240600672).

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

1238209440 is a wasteful number, since it uses less digits than its factorization.

1238209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1238209440 is about 35188.2002949852. The cubic root of 1238209440 is about 1073.8197076413.

The spelling of 1238209440 in words is "one billion, two hundred thirty-eight million, two hundred nine thousand, four hundred forty".