10045463681440 has 192 divisors, whose sum is σ = 28358107464960. Its totient is φ = 3319466967040.

The previous prime is 10045463681419. The next prime is 10045463681443. The reversal of 10045463681440 is 4418636454001.

It is a happy number.

It is a super-2 number, since 2×10045463681440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10045463681443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4921012 + ... + 6656371.

It is an arithmetic number, because the mean of its divisors is an integer number (147698476380).

Almost surely, 2^{10045463681440} is an apocalyptic number.

10045463681440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045463681440 is an abundant number, since it is smaller than the sum of its proper divisors (18312643783520).

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

10045463681440 is a wasteful number, since it uses less digits than its factorization.

10045463681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577455 (or 11577447 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 10045463681440 in words is "ten trillion, forty-five billion, four hundred sixty-three million, six hundred eighty-one thousand, four hundred forty".