42114157008 has 240 divisors, whose sum is σ = 140672085696. Its totient is φ = 10732001280.

The previous prime is 42114156979. The next prime is 42114157009. The reversal of 42114157008 is 80075141124.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 42114157008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114157009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355860 + ... + 1386572.

Almost surely, 2^42114157008 is an apocalyptic number.

42114157008 is a gapful number since it is divisible by the number (48) 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 42114157008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70336042848).

42114157008 is an abundant number, since it is smaller than the sum of its proper divisors (98557928688).

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

42114157008 is a wasteful number, since it uses less digits than its factorization.

42114157008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30802 (or 30789 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 42114157008 in words is "forty-two billion, one hundred fourteen million, one hundred fifty-seven thousand, eight".