42115266251124 has 96 divisors (see below), whose sum is σ = 108260668938240. Its totient is φ = 12636268694400.

The previous prime is 42115266251101. The next prime is 42115266251129.

42115266251124 is nontrivially palindromic in base 10.

42115266251124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42115266251129) by changing a digit.

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, 85558942 + ... + 86049770.

It is an arithmetic number, because the mean of its divisors is an integer number (1127715301440).

Almost surely, 2^{42115266251124} is an apocalyptic number.

42115266251124 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 42115266251124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54130334469120).

42115266251124 is an abundant number, since it is smaller than the sum of its proper divisors (66145402687116).

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

42115266251124 is a wasteful number, since it uses less digits than its factorization.

42115266251124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497261 (or 497259 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 42115266251124 in words is "forty-two trillion, one hundred fifteen billion, two hundred sixty-six million, two hundred fifty-one thousand, one hundred twenty-four".