42100311434104 has 128 divisors (see below), whose sum is σ = 98647038328320. Its totient is φ = 16364296972800.

The previous prime is 42100311434099. The next prime is 42100311434179. The reversal of 42100311434104 is 40143411300124.

42100311434104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42100311434104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 643988539 + ... + 644053909.

It is an arithmetic number, because the mean of its divisors is an integer number (770679986940).

Almost surely, 2^{42100311434104} is an apocalyptic number.

42100311434104 is a gapful number since it is divisible by the number (44) 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 42100311434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49323519164160).

42100311434104 is an abundant number, since it is smaller than the sum of its proper divisors (56546726894216).

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

42100311434104 is a wasteful number, since it uses less digits than its factorization.

42100311434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67829 (or 67825 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42100311434104 its reverse (40143411300124), we get a palindrome (82243722734228).

The spelling of 42100311434104 in words is "forty-two trillion, one hundred billion, three hundred eleven million, four hundred thirty-four thousand, one hundred four".