10042205536000 has 288 divisors, whose sum is σ = 28477177537536. Its totient is φ = 3492938240000.

The previous prime is 10042205535997. The next prime is 10042205536031. The reversal of 10042205536000 is 63550224001.

It is a self number, because there is not a number n which added to its sum of digits gives 10042205536000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7475805 + ... + 8716195.

It is an arithmetic number, because the mean of its divisors is an integer number (98879088672).

Almost surely, 2^{10042205536000} is an apocalyptic number.

10042205536000 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 10042205536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238588768768).

10042205536000 is an abundant number, since it is smaller than the sum of its proper divisors (18434972001536).

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

10042205536000 is a wasteful number, since it uses less digits than its factorization.

10042205536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240456 (or 1240432 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 10042205536000 in words is "ten trillion, forty-two billion, two hundred five million, five hundred thirty-six thousand".