10244131200414 has 64 divisors (see below), whose sum is σ = 23709295226880. Its totient is φ = 3275626223520.

The previous prime is 10244131200409. The next prime is 10244131200449. The reversal of 10244131200414 is 41400213144201.

10244131200414 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 41 + 3 + 1 + 200 + 414 = 666.

10244131200414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35965134 + ... + 36248849.

It is an arithmetic number, because the mean of its divisors is an integer number (370457737920).

Almost surely, 2^{10244131200414} is an apocalyptic number.

10244131200414 is an abundant number, since it is smaller than the sum of its proper divisors (13465164026466).

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

10244131200414 is a wasteful number, since it uses less digits than its factorization.

10244131200414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72214102 (or 72214096 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10244131200414 its reverse (41400213144201), we get a palindrome (51644344344615).

The spelling of 10244131200414 in words is "ten trillion, two hundred forty-four billion, one hundred thirty-one million, two hundred thousand, four hundred fourteen".