10142404000 has 96 divisors (see below), whose sum is σ = 26385939216. Its totient is φ = 3818291200.

The previous prime is 10142403991. The next prime is 10142404021. The reversal of 10142404000 is 40424101.

It can be written as a sum of positive squares in 8 ways, for example, as 53406864 + 10088997136 = 7308^2 + 100444^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 6577 + ... + 142576.

Almost surely, 2^10142404000 is an apocalyptic number.

10142404000 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 10142404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192969608).

10142404000 is an abundant number, since it is smaller than the sum of its proper divisors (16243535216).

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

10142404000 is a wasteful number, since it uses less digits than its factorization.

10142404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149195 (or 149177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10142404000 its reverse (40424101), we get a palindrome (10182828101).

The spelling of 10142404000 in words is "ten billion, one hundred forty-two million, four hundred four thousand".