10132383434040 has 512 divisors, whose sum is σ = 39656065536000. Its totient is φ = 2252624836608.

The previous prime is 10132383434023. The next prime is 10132383434083. The reversal of 10132383434040 is 4043438323101.

10132383434040 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 238 + 343 + 40 + 40 = 666.

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 = 10132383433986 and 10132383434004.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1485030069 + ... + 1485036891.

It is an arithmetic number, because the mean of its divisors is an integer number (77453253000).

Almost surely, 2^{10132383434040} is an apocalyptic number.

10132383434040 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 10132383434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828032768000).

10132383434040 is an abundant number, since it is smaller than the sum of its proper divisors (29523682101960).

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

10132383434040 is a wasteful number, since it uses less digits than its factorization.

10132383434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10132383434040 in words is "ten trillion, one hundred thirty-two billion, three hundred eighty-three million, four hundred thirty-four thousand, forty".