1038418080 has 192 divisors, whose sum is σ = 3867575040. Its totient is φ = 229146624.

The previous prime is 1038418049. The next prime is 1038418081. The reversal of 1038418080 is 808148301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1038418081) 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, 92112 + ... + 102768.

It is an arithmetic number, because the mean of its divisors is an integer number (20143620).

Almost surely, 2^1038418080 is an apocalyptic number.

1038418080 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 1038418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933787520).

1038418080 is an abundant number, since it is smaller than the sum of its proper divisors (2829156960).

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

1038418080 is a wasteful number, since it uses less digits than its factorization.

1038418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10711 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1038418080 is about 32224.4950309543. The cubic root of 1038418080 is about 1012.6454453457.

The spelling of 1038418080 in words is "one billion, thirty-eight million, four hundred eighteen thousand, eighty".