10144514040140 has 24 divisors (see below), whose sum is σ = 21309761985792. Its totient is φ = 4056608949120.

The previous prime is 10144514040139. The next prime is 10144514040163. The reversal of 10144514040140 is 4104041544101.

It is a happy number.

10144514040140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10144514040140² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74722169 + ... + 74857808.

It is an arithmetic number, because the mean of its divisors is an integer number (887906749408).

Almost surely, 2^{10144514040140} is an apocalyptic number.

10144514040140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144514040140 is an abundant number, since it is smaller than the sum of its proper divisors (11165247945652).

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

10144514040140 is a wasteful number, since it uses less digits than its factorization.

10144514040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149583377 (or 149583375 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 10144514040140 its reverse (4104041544101), we get a palindrome (14248555584241).

The spelling of 10144514040140 in words is "ten trillion, one hundred forty-four billion, five hundred fourteen million, forty thousand, one hundred forty".