10448401140240 has 640 divisors, whose sum is σ = 38214331269120. Its totient is φ = 2312561664000.

The previous prime is 10448401140197. The next prime is 10448401140251. The reversal of 10448401140240 is 4204110484401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1530001146 + ... + 1530007974.

It is an arithmetic number, because the mean of its divisors is an integer number (59709892608).

Almost surely, 2^{10448401140240} is an apocalyptic number.

10448401140240 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 10448401140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107165634560).

10448401140240 is an abundant number, since it is smaller than the sum of its proper divisors (27765930128880).

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

10448401140240 is a wasteful number, since it uses less digits than its factorization.

10448401140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 10448401140240 in words is "ten trillion, four hundred forty-eight billion, four hundred one million, one hundred forty thousand, two hundred forty".