10011110033040 has 160 divisors (see below), whose sum is σ = 31797389586816. Its totient is φ = 2604023992320.

The previous prime is 10011110033033. The next prime is 10011110033047. The reversal of 10011110033040 is 4033001111001.

It is an interprime number because it is at equal distance from previous prime (10011110033033) and next prime (10011110033047).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10011110033047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53465662 + ... + 53652578.

Almost surely, 2^{10011110033040} is an apocalyptic number.

10011110033040 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 10011110033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898694793408).

10011110033040 is an abundant number, since it is smaller than the sum of its proper divisors (21786279553776).

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

10011110033040 is a wasteful number, since it uses less digits than its factorization.

10011110033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192417 (or 192411 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10011110033040 its reverse (4033001111001), we get a palindrome (14044111144041).

The spelling of 10011110033040 in words is "ten trillion, eleven billion, one hundred ten million, thirty-three thousand, forty".