10445051104000 has 576 divisors, whose sum is σ = 27702751265280. Its totient is φ = 3917168640000.

The previous prime is 10445051103983. The next prime is 10445051104009. The reversal of 10445051104000 is 40115054401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10445051104009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10311007494 + ... + 10311008506.

It is an arithmetic number, because the mean of its divisors is an integer number (48095054280).

Almost surely, 2^{10445051104000} is an apocalyptic number.

10445051104000 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 10445051104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851375632640).

10445051104000 is an abundant number, since it is smaller than the sum of its proper divisors (17257700161280).

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

10445051104000 is a wasteful number, since it uses less digits than its factorization.

10445051104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 10445051104000 its reverse (40115054401), we get a palindrome (10485166158401).

The spelling of 10445051104000 in words is "ten trillion, four hundred forty-five billion, fifty-one million, one hundred four thousand".