10114404324240 has 80 divisors (see below), whose sum is σ = 31535894305728. Its totient is φ = 2681583871488.

The previous prime is 10114404324239. The next prime is 10114404324247. The reversal of 10114404324240 is 4242340441101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10114404324240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10114404324198 and 10114404324207.

It is not an unprimeable number, because it can be changed into a prime (10114404324247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121760074 + ... + 121843113.

Almost surely, 2^{10114404324240} is an apocalyptic number.

10114404324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114404324240 is an abundant number, since it is smaller than the sum of its proper divisors (21421489981488).

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

10114404324240 is a wasteful number, since it uses less digits than its factorization.

10114404324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243603376 (or 243603370 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10114404324240 its reverse (4242340441101), we get a palindrome (14356744765341).

The spelling of 10114404324240 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred twenty-four thousand, two hundred forty".