10042745472000 has 1760 divisors, whose sum is σ = 39170847006720. Its totient is φ = 2555604172800.

The previous prime is 10042745471929. The next prime is 10042745472007. The reversal of 10042745472000 is 27454724001.

10042745472000 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 74 + 547 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10042745472007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38185343869 + ... + 38185344131.

It is an arithmetic number, because the mean of its divisors is an integer number (22256163072).

Almost surely, 2^{10042745472000} is an apocalyptic number.

10042745472000 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 10042745472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585423503360).

10042745472000 is an abundant number, since it is smaller than the sum of its proper divisors (29128101534720).

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

10042745472000 is a wasteful number, since it uses less digits than its factorization.

10042745472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 10042745472000 in words is "ten trillion, forty-two billion, seven hundred forty-five million, four hundred seventy-two thousand".