10142124333040 has 80 divisors (see below), whose sum is σ = 27200933885952. Its totient is φ = 3444801622272.

The previous prime is 10142124333023. The next prime is 10142124333043. The reversal of 10142124333040 is 4033342124101.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142124333043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84570624 + ... + 84690463.

Almost surely, 2^{10142124333040} is an apocalyptic number.

10142124333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142124333040 is an abundant number, since it is smaller than the sum of its proper divisors (17058809552912).

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

10142124333040 is a wasteful number, since it uses less digits than its factorization.

10142124333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169261214 (or 169261208 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10142124333040 its reverse (4033342124101), we get a palindrome (14175466457141).

The spelling of 10142124333040 in words is "ten trillion, one hundred forty-two billion, one hundred twenty-four million, three hundred thirty-three thousand, forty".