10542001344 has 224 divisors, whose sum is σ = 34376563200. Its totient is φ = 2783600640.

The previous prime is 10542001343. The next prime is 10542001361. The reversal of 10542001344 is 44310024501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10542001344² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10542001343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041942 + ... + 1052010.

It is an arithmetic number, because the mean of its divisors is an integer number (153466800).

Almost surely, 2^10542001344 is an apocalyptic number.

10542001344 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 10542001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188281600).

10542001344 is an abundant number, since it is smaller than the sum of its proper divisors (23834561856).

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

10542001344 is a wasteful number, since it uses less digits than its factorization.

10542001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151 (or 10141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10542001344 its reverse (44310024501), we get a palindrome (54852025845).

The spelling of 10542001344 in words is "ten billion, five hundred forty-two million, one thousand, three hundred forty-four".