10145401142144 has 64 divisors (see below), whose sum is σ = 20425049710800. Its totient is φ = 5019140505600.

The previous prime is 10145401142141. The next prime is 10145401142257. The reversal of 10145401142144 is 44124110454101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10145401142144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145401142141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50196362 + ... + 50398070.

Almost surely, 2^{10145401142144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145401142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10212524855400).

10145401142144 is an abundant number, since it is smaller than the sum of its proper divisors (10279648568656).

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

10145401142144 is an equidigital number, since it uses as much as digits as its factorization.

10145401142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205871 (or 205859 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 10145401142144 its reverse (44124110454101), we get a palindrome (54269511596245).

The spelling of 10145401142144 in words is "ten trillion, one hundred forty-five billion, four hundred one million, one hundred forty-two thousand, one hundred forty-four".