10542333040 has 80 divisors (see below), whose sum is σ = 25201378080. Its totient is φ = 4098401280.

The previous prime is 10542333031. The next prime is 10542333059. The reversal of 10542333040 is 4033324501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10542333040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10542332996 and 10542333014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4086471 + ... + 4089049.

It is an arithmetic number, because the mean of its divisors is an integer number (315017226).

Almost surely, 2^10542333040 is an apocalyptic number.

10542333040 is a gapful number since it is divisible by the number (10) 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 10542333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600689040).

10542333040 is an abundant number, since it is smaller than the sum of its proper divisors (14659045040).

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

10542333040 is a wasteful number, since it uses less digits than its factorization.

10542333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 10542333040 its reverse (4033324501), we get a palindrome (14575657541).

The spelling of 10542333040 in words is "ten billion, five hundred forty-two million, three hundred thirty-three thousand, forty".