10641108412440 has 384 divisors, whose sum is σ = 37919443161600. Its totient is φ = 2566574069760.

The previous prime is 10641108412423. The next prime is 10641108412453. The reversal of 10641108412440 is 4421480114601.

10641108412440 is a `hidden beast` number, since 1 + 0 + 6 + 411 + 0 + 84 + 124 + 40 = 666.

It is a super-2 number, since 2×10641108412440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10641108412395 and 10641108412404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 691736989 + ... + 691752371.

It is an arithmetic number, because the mean of its divisors is an integer number (98748549900).

Almost surely, 2^{10641108412440} is an apocalyptic number.

10641108412440 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 10641108412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959721580800).

10641108412440 is an abundant number, since it is smaller than the sum of its proper divisors (27278334749160).

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

10641108412440 is a wasteful number, since it uses less digits than its factorization.

10641108412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16287 (or 16280 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10641108412440 in words is "ten trillion, six hundred forty-one billion, one hundred eight million, four hundred twelve thousand, four hundred forty".