42011211211024 has 40 divisors (see below), whose sum is σ = 88805441311200. Its totient is φ = 19094065824000.

The previous prime is 42011211211009. The next prime is 42011211211027.

42011211211024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42011211210986 and 42011211211004.

It is not an unprimeable number, because it can be changed into a prime (42011211211027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10381749 + ... + 13849300.

It is an arithmetic number, because the mean of its divisors is an integer number (2220136032780).

Almost surely, 2^{42011211211024} is an apocalyptic number.

42011211211024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42011211211024 is an abundant number, since it is smaller than the sum of its proper divisors (46794230100176).

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

42011211211024 is a wasteful number, since it uses less digits than its factorization.

42011211211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240919 (or 24240913 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 4201121 and 1211024, that added together give a palindrome (5412145).

The spelling of 42011211211024 in words is "forty-two trillion, eleven billion, two hundred eleven million, two hundred eleven thousand, twenty-four".