10542424400 has 60 divisors (see below), whose sum is σ = 25489652412. Its totient is φ = 4190085120.

The previous prime is 10542424391. The next prime is 10542424439. The reversal of 10542424400 is 442424501.

It can be written as a sum of positive squares in 6 ways, for example, as 1511343376 + 9031081024 = 38876^2 + 95032^2 .

It is a super-2 number, since 2×10542424400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10542424400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21137 + ... + 146736.

Almost surely, 2^10542424400 is an apocalyptic number.

10542424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10542424400 is an abundant number, since it is smaller than the sum of its proper divisors (14947228012).

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

10542424400 is a wasteful number, since it uses less digits than its factorization.

10542424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168048 (or 168037 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 10542424400 its reverse (442424501), we get a palindrome (10984848901).

The spelling of 10542424400 in words is "ten billion, five hundred forty-two million, four hundred twenty-four thousand, four hundred".