10241343144032 has 192 divisors, whose sum is σ = 27944800063488. Its totient is φ = 3564387072000.

The previous prime is 10241343143981. The next prime is 10241343144049. The reversal of 10241343144032 is 23044134314201.

It is a super-2 number, since 2×10241343144032² (a number of 27 digits) contains 22 as substring.

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 10241343144032.

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, 4163819 + ... + 6149802.

It is an arithmetic number, because the mean of its divisors is an integer number (145545833664).

Almost surely, 2^{10241343144032} is an apocalyptic number.

It is an amenable number.

10241343144032 is an abundant number, since it is smaller than the sum of its proper divisors (17703456919456).

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

10241343144032 is a wasteful number, since it uses less digits than its factorization.

10241343144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10313693 (or 10313685 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10241343144032 its reverse (23044134314201), we get a palindrome (33285477458233).

The spelling of 10241343144032 in words is "ten trillion, two hundred forty-one billion, three hundred forty-three million, one hundred forty-four thousand, thirty-two".