42101280 has 216 divisors, whose sum is σ = 156471588. Its totient is φ = 10303488.

The previous prime is 42101273. The next prime is 42101287. The reversal of 42101280 is 8210124.

It is an interprime number because it is at equal distance from previous prime (42101273) and next prime (42101287).

It can be written as a sum of positive squares in 6 ways, for example, as 12027024 + 30074256 = 3468^2 + 5484^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42101287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243274 + ... + 243446.

Almost surely, 2^42101280 is an apocalyptic number.

42101280 is a gapful number since it is divisible by the number (40) 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 42101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78235794).

42101280 is an abundant number, since it is smaller than the sum of its proper divisors (114370308).

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

42101280 is a wasteful number, since it uses less digits than its factorization.

42101280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 42101280 is about 6488.5499150427. The cubic root of 42101280 is about 347.8818465318.

The spelling of 42101280 in words is "forty-two million, one hundred one thousand, two hundred eighty".