10445045200000 has 384 divisors, whose sum is σ = 27802719262080. Its totient is φ = 3898752000000.

The previous prime is 10445045199997. The next prime is 10445045200019. The reversal of 10445045200000 is 254054401.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377186155 + ... + 377213845.

It is an arithmetic number, because the mean of its divisors is an integer number (72402914745).

Almost surely, 2^{10445045200000} is an apocalyptic number.

10445045200000 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 10445045200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901359631040).

10445045200000 is an abundant number, since it is smaller than the sum of its proper divisors (17357674062080).

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

10445045200000 is an frugal number, since it uses more digits than its factorization.

10445045200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27794 (or 27762 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 10445045200000 its reverse (254054401), we get a palindrome (10445299254401).

The spelling of 10445045200000 in words is "ten trillion, four hundred forty-five billion, forty-five million, two hundred thousand".