10132671340 has 48 divisors (see below), whose sum is σ = 24013493280. Its totient is φ = 3557550080.

The previous prime is 10132671337. The next prime is 10132671349. The reversal of 10132671340 is 4317623101.

It is a junction number, because it is equal to n+sod(n) for n = 10132671299 and 10132671308.

It is not an unprimeable number, because it can be changed into a prime (10132671349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787717 + ... + 800476.

It is an arithmetic number, because the mean of its divisors is an integer number (500281110).

Almost surely, 2^10132671340 is an apocalyptic number.

10132671340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132671340 is an abundant number, since it is smaller than the sum of its proper divisors (13880821940).

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

10132671340 is a wasteful number, since it uses less digits than its factorization.

10132671340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588242 (or 1588240 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

It can be divided in two parts, 10132 and 671340, that added together give a cube (681472 = 88³).

The spelling of 10132671340 in words is "ten billion, one hundred thirty-two million, six hundred seventy-one thousand, three hundred forty".