42011000011024 has 20 divisors (see below), whose sum is σ = 88795977296400. Its totient is φ = 19095909095840.

The previous prime is 42011000010983. The next prime is 42011000011061.

It is a happy number.

42011000011024 is nontrivially palindromic in base 10.

42011000011024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42011000010989 and 42011000011007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119349431674 + ... + 119349432025.

It is an arithmetic number, because the mean of its divisors is an integer number (4439798864820).

Almost surely, 2^{42011000011024} is an apocalyptic number.

42011000011024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42011000011024 is an abundant number, since it is smaller than the sum of its proper divisors (46784977285376).

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

42011000011024 is a wasteful number, since it uses less digits than its factorization.

42011000011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238698863718 (or 238698863712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 420110000 and 11024, that added together give a palindrome (420121024).

The spelling of 42011000011024 in words is "forty-two trillion, eleven billion, eleven thousand, twenty-four".