10241254342004 has 96 divisors (see below), whose sum is σ = 21553807376640. Its totient is φ = 4165646994432.

The previous prime is 10241254342003. The next prime is 10241254342027. The reversal of 10241254342004 is 40024345214201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241254342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33570992 + ... + 33874680.

It is an arithmetic number, because the mean of its divisors is an integer number (224518826840).

Almost surely, 2^{10241254342004} is an apocalyptic number.

10241254342004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241254342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776903688320).

10241254342004 is an abundant number, since it is smaller than the sum of its proper divisors (11312553034636).

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

10241254342004 is a wasteful number, since it uses less digits than its factorization.

10241254342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304537 (or 304535 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 10241254342004 its reverse (40024345214201), we get a palindrome (50265599556205).

The spelling of 10241254342004 in words is "ten trillion, two hundred forty-one billion, two hundred fifty-four million, three hundred forty-two thousand, four".