10434131183280 has 720 divisors, whose sum is σ = 40992867431424. Its totient is φ = 2186508764160.

The previous prime is 10434131183269. The next prime is 10434131183297. The reversal of 10434131183280 is 8238113143401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131566519 + ... + 131645801.

Almost surely, 2^{10434131183280} is an apocalyptic number.

10434131183280 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 10434131183280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20496433715712).

10434131183280 is an abundant number, since it is smaller than the sum of its proper divisors (30558736248144).

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

10434131183280 is a wasteful number, since it uses less digits than its factorization.

10434131183280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79382 (or 79350 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10434131183280 in words is "ten trillion, four hundred thirty-four billion, one hundred thirty-one million, one hundred eighty-three thousand, two hundred eighty".