10445214010440 has 256 divisors, whose sum is σ = 34364481465600. Its totient is φ = 2518850355200.

The previous prime is 10445214010417. The next prime is 10445214010507. The reversal of 10445214010440 is 4401041254401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10445214010398 and 10445214010407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326305156 + ... + 326337164.

It is an arithmetic number, because the mean of its divisors is an integer number (134236255725).

Almost surely, 2^{10445214010440} is an apocalyptic number.

10445214010440 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 10445214010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182240732800).

10445214010440 is an abundant number, since it is smaller than the sum of its proper divisors (23919267455160).

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

10445214010440 is a wasteful number, since it uses less digits than its factorization.

10445214010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33328 (or 33324 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 10445214010440 its reverse (4401041254401), we get a palindrome (14846255264841).

The spelling of 10445214010440 in words is "ten trillion, four hundred forty-five billion, two hundred fourteen million, ten thousand, four hundred forty".