42150211205124 has 96 divisors (see below), whose sum is σ = 108142446182400. Its totient is φ = 12671493327360.

The previous prime is 42150211205119. The next prime is 42150211205147.

42150211205124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42150211205091 and 42150211205100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341404197 + ... + 341527635.

It is an arithmetic number, because the mean of its divisors is an integer number (1126483814400).

Almost surely, 2^{42150211205124} is an apocalyptic number.

42150211205124 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 42150211205124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54071223091200).

42150211205124 is an abundant number, since it is smaller than the sum of its proper divisors (65992234977276).

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

42150211205124 is a wasteful number, since it uses less digits than its factorization.

42150211205124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143953 (or 143951 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 42150211205124 in words is "forty-two trillion, one hundred fifty billion, two hundred eleven million, two hundred five thousand, one hundred twenty-four".