126328431360 has 288 divisors, whose sum is σ = 408691422720. Its totient is φ = 33253556224.

The previous prime is 126328431337. The next prime is 126328431407. The reversal of 126328431360 is 63134823621.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150569821 + ... + 150570659.

It is an arithmetic number, because the mean of its divisors is an integer number (1419067440).

Almost surely, 2^126328431360 is an apocalyptic number.

126328431360 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 126328431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204345711360).

126328431360 is an abundant number, since it is smaller than the sum of its proper divisors (282362991360).

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

126328431360 is a wasteful number, since it uses less digits than its factorization.

126328431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 126328431360 in words is "one hundred twenty-six billion, three hundred twenty-eight million, four hundred thirty-one thousand, three hundred sixty".