40101110784 has 198 divisors, whose sum is σ = 134697271254. Its totient is φ = 11457331200.

The previous prime is 40101110729. The next prime is 40101110821. The reversal of 40101110784 is 48701110104.

It can be written as a sum of positive squares in only one way, i.e., 21856665600 + 18244445184 = 147840^2 + 135072^2 .

It is a super-2 number, since 2×40101110784² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 407184 + ... + 495984.

Almost surely, 2^40101110784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101110784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67348635627).

40101110784 is an abundant number, since it is smaller than the sum of its proper divisors (94596160470).

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

40101110784 is a wasteful number, since it uses less digits than its factorization.

40101110784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88841 (or 88813 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 40101110784 its reverse (48701110104), we get a palindrome (88802220888).

The spelling of 40101110784 in words is "forty billion, one hundred one million, one hundred ten thousand, seven hundred eighty-four".