10142659040 has 96 divisors (see below), whose sum is σ = 25905186720. Its totient is φ = 3739613184.

The previous prime is 10142659001. The next prime is 10142659049. The reversal of 10142659040 is 4095624101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10142658988 and 10142659006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142659049) 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, 67394 + ... + 157566.

It is an arithmetic number, because the mean of its divisors is an integer number (269845695).

Almost surely, 2^10142659040 is an apocalyptic number.

10142659040 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 10142659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952593360).

10142659040 is an abundant number, since it is smaller than the sum of its proper divisors (15762527680).

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

10142659040 is a wasteful number, since it uses less digits than its factorization.

10142659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90244 (or 90236 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 10142659040 in words is "ten billion, one hundred forty-two million, six hundred fifty-nine thousand, forty".