10445150315040 has 384 divisors, whose sum is σ = 38447136000000. Its totient is φ = 2382659693568.

The previous prime is 10445150315029. The next prime is 10445150315051. The reversal of 10445150315040 is 4051305154401.

It is an interprime number because it is at equal distance from previous prime (10445150315029) and next prime (10445150315051).

It is a super-2 number, since 2×10445150315040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10445150314992 and 10445150315010.

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, 82091791 + ... + 82218929.

It is an arithmetic number, because the mean of its divisors is an integer number (100122750000).

Almost surely, 2^{10445150315040} is an apocalyptic number.

10445150315040 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 10445150315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223568000000).

10445150315040 is an abundant number, since it is smaller than the sum of its proper divisors (28001985684960).

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

10445150315040 is a wasteful number, since it uses less digits than its factorization.

10445150315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127677 (or 127655 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 10445150315040 its reverse (4051305154401), we get a palindrome (14496455469441).

The spelling of 10445150315040 in words is "ten trillion, four hundred forty-five billion, one hundred fifty million, three hundred fifteen thousand, forty".