10042450000 has 360 divisors, whose sum is σ = 28857215520. Its totient is φ = 3348000000.

The previous prime is 10042449983. The next prime is 10042450073. The reversal of 10042450000 is 5424001.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323949985 + ... + 323950015.

It is an arithmetic number, because the mean of its divisors is an integer number (80158932).

Almost surely, 2^10042450000 is an apocalyptic number.

10042450000 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 10042450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428607760).

10042450000 is an abundant number, since it is smaller than the sum of its proper divisors (18814765520).

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

10042450000 is an equidigital number, since it uses as much as digits as its factorization.

10042450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 10042450000 its reverse (5424001), we get a palindrome (10047874001).

The spelling of 10042450000 in words is "ten billion, forty-two million, four hundred fifty thousand".