10142121040 has 80 divisors (see below), whose sum is σ = 24368547456. Its totient is φ = 3923136000.

The previous prime is 10142120999. The next prime is 10142121089. The reversal of 10142121040 is 4012124101.

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 (16).

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, 332845 + ... + 362035.

Almost surely, 2^10142121040 is an apocalyptic number.

10142121040 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 10142121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12184273728).

10142121040 is an abundant number, since it is smaller than the sum of its proper divisors (14226426416).

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

10142121040 is a wasteful number, since it uses less digits than its factorization.

10142121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29348 (or 29342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10142121040 its reverse (4012124101), we get a palindrome (14154245141).

The spelling of 10142121040 in words is "ten billion, one hundred forty-two million, one hundred twenty-one thousand, forty".