1307190832128 has 352 divisors, whose sum is σ = 3912349547520. Its totient is φ = 431131852800.

The previous prime is 1307190832127. The next prime is 1307190832193. The reversal of 1307190832128 is 8212380917031.

1307190832128 is a `hidden beast` number, since 1 + 307 + 19 + 0 + 8 + 321 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1307190832127) 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, 1473720901 + ... + 1473721787.

Almost surely, 2^{1307190832128} is an apocalyptic number.

1307190832128 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 1307190832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956174773760).

1307190832128 is an abundant number, since it is smaller than the sum of its proper divisors (2605158715392).

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

1307190832128 is a wasteful number, since it uses less digits than its factorization.

1307190832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1307190832128 in words is "one trillion, three hundred seven billion, one hundred ninety million, eight hundred thirty-two thousand, one hundred twenty-eight".