42281280 has 168 divisors, whose sum is σ = 148708872. Its totient is φ = 11022336.

The previous prime is 42281273. The next prime is 42281293. The reversal of 42281280 is 8218224.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 39538944 = 1656^2 + 6288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152502 + ... + 152778.

Almost surely, 2^42281280 is an apocalyptic number.

42281280 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 42281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74354436).

42281280 is an abundant number, since it is smaller than the sum of its proper divisors (106427592).

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

42281280 is a wasteful number, since it uses less digits than its factorization.

42281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42281280 is about 6502.4057086589. The cubic root of 42281280 is about 348.3769201859.

The spelling of 42281280 in words is "forty-two million, two hundred eighty-one thousand, two hundred eighty".