10344405641430 has 128 divisors (see below), whose sum is σ = 28696127385600. Its totient is φ = 2337534802944.

The previous prime is 10344405641429. The next prime is 10344405641441. The reversal of 10344405641430 is 3414650444301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144980044 + ... + 145051376.

It is an arithmetic number, because the mean of its divisors is an integer number (224188495200).

Almost surely, 2^{10344405641430} is an apocalyptic number.

10344405641430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344405641430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348063692800).

10344405641430 is an abundant number, since it is smaller than the sum of its proper divisors (18351721744170).

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

10344405641430 is a wasteful number, since it uses less digits than its factorization.

10344405641430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79198.

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 10344405641430 in words is "ten trillion, three hundred forty-four billion, four hundred five million, six hundred forty-one thousand, four hundred thirty".