10410001414440 has 128 divisors (see below), whose sum is σ = 32245636792320. Its totient is φ = 2685767558400.

The previous prime is 10410001414429. The next prime is 10410001414441. The reversal of 10410001414440 is 4441410001401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10410001414440.

It is not an unprimeable number, because it can be changed into a prime (10410001414441) 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, 14328345 + ... + 15037335.

It is an arithmetic number, because the mean of its divisors is an integer number (251919037440).

Almost surely, 2^{10410001414440} is an apocalyptic number.

10410001414440 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 10410001414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122818396160).

10410001414440 is an abundant number, since it is smaller than the sum of its proper divisors (21835635377880).

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

10410001414440 is a wasteful number, since it uses less digits than its factorization.

10410001414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712983 (or 712979 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10410001414440 its reverse (4441410001401), we get a palindrome (14851411415841).

The spelling of 10410001414440 in words is "ten trillion, four hundred ten billion, one million, four hundred fourteen thousand, four hundred forty".