42742080 has 280 divisors, whose sum is σ = 162644328. Its totient is φ = 10616832.

The previous prime is 42742079. The next prime is 42742093. The reversal of 42742080 is 8024724.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 34857216 = 2808^2 + 5904^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440592 + ... + 440688.

Almost surely, 2^42742080 is an apocalyptic number.

42742080 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 42742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81322164).

42742080 is an abundant number, since it is smaller than the sum of its proper divisors (119902248).

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

42742080 is a wasteful number, since it uses less digits than its factorization.

42742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42742080 is about 6537.7427297195. The cubic root of 42742080 is about 349.6379385157.

The spelling of 42742080 in words is "forty-two million, seven hundred forty-two thousand, eighty".