8810001123840 has 640 divisors, whose sum is σ = 36918162800640. Its totient is φ = 1948752691200.

The previous prime is 8810001123839. The next prime is 8810001123851. The reversal of 8810001123840 is 483211000188.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8810001123840² (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 = 8810001123795 and 8810001123804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14705355 + ... + 15292725.

It is an arithmetic number, because the mean of its divisors is an integer number (57684629376).

Almost surely, 2^{8810001123840} is an apocalyptic number.

8810001123840 is a gapful number since it is divisible by the number (80) 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 8810001123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459081400320).

8810001123840 is an abundant number, since it is smaller than the sum of its proper divisors (28108161676800).

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

8810001123840 is a wasteful number, since it uses less digits than its factorization.

8810001123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587441 (or 587419 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 8810001123840 in words is "eight trillion, eight hundred ten billion, one million, one hundred twenty-three thousand, eight hundred forty".