1038141468 has 192 divisors, whose sum is σ = 3360286720. Its totient is φ = 269858304.

The previous prime is 1038141463. The next prime is 1038141487. The reversal of 1038141468 is 8641418301.

It is a happy number.

1038141468 is a `hidden beast` number, since 103 + 81 + 414 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038141463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716721 + ... + 718167.

Almost surely, 2^1038141468 is an apocalyptic number.

1038141468 is a gapful number since it is divisible by the number (18) 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 1038141468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680143360).

1038141468 is an abundant number, since it is smaller than the sum of its proper divisors (2322145252).

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

1038141468 is a wasteful number, since it uses less digits than its factorization.

1038141468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1038141468 is about 32220.2027926579. The cubic root of 1038141468 is about 1012.5555217839. Note that the first 4 decimals are identical.

Adding to 1038141468 its reverse (8641418301), we get a palindrome (9679559769).

The spelling of 1038141468 in words is "one billion, thirty-eight million, one hundred forty-one thousand, four hundred sixty-eight".