10144744427730 has 256 divisors, whose sum is σ = 27565484544000. Its totient is φ = 2366867543040.

The previous prime is 10144744427729. The next prime is 10144744427767. The reversal of 10144744427730 is 3772444744101.

It is a self number, because there is not a number n which added to its sum of digits gives 10144744427730.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5806950717 + ... + 5806952463.

It is an arithmetic number, because the mean of its divisors is an integer number (107677674000).

Almost surely, 2^{10144744427730} is an apocalyptic number.

10144744427730 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 10144744427730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782742272000).

10144744427730 is an abundant number, since it is smaller than the sum of its proper divisors (17420740116270).

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

10144744427730 is a wasteful number, since it uses less digits than its factorization.

10144744427730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409.

The product of its (nonzero) digits is 2107392, while the sum is 48.

The spelling of 10144744427730 in words is "ten trillion, one hundred forty-four billion, seven hundred forty-four million, four hundred twenty-seven thousand, seven hundred thirty".