10042032000 has 1536 divisors, whose sum is σ = 47405030400. Its totient is φ = 1824768000.

The previous prime is 10042031983. The next prime is 10042032017. The reversal of 10042032000 is 23024001.

It is an interprime number because it is at equal distance from previous prime (10042031983) and next prime (10042032017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 528527991 + ... + 528528009.

It is an arithmetic number, because the mean of its divisors is an integer number (30862650).

Almost surely, 2^10042032000 is an apocalyptic number.

10042032000 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 10042032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23702515200).

10042032000 is an abundant number, since it is smaller than the sum of its proper divisors (37362998400).

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

10042032000 is a wasteful number, since it uses less digits than its factorization.

10042032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10042032000 its reverse (23024001), we get a palindrome (10065056001).

The spelling of 10042032000 in words is "ten billion, forty-two million, thirty-two thousand".