9131419440 has 1280 divisors, whose sum is σ = 41037373440. Its totient is φ = 1831403520.

The previous prime is 9131419417. The next prime is 9131419459. The reversal of 9131419440 is 449141319.

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 = 9131419395 and 9131419404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 194285497 + ... + 194285543.

It is an arithmetic number, because the mean of its divisors is an integer number (32060448).

Almost surely, 2^9131419440 is an apocalyptic number.

9131419440 is a gapful number since it is divisible by the number (90) 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 9131419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518686720).

9131419440 is an abundant number, since it is smaller than the sum of its proper divisors (31905954000).

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

9131419440 is a wasteful number, since it uses less digits than its factorization.

9131419440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9131419440 is about 95558.4608498902. The cubic root of 9131419440 is about 2090.1595110356.

The spelling of 9131419440 in words is "nine billion, one hundred thirty-one million, four hundred nineteen thousand, four hundred forty".