42437440 has 112 divisors (see below), whose sum is σ = 111099600. Its totient is φ = 15368192.

The previous prime is 42437413. The next prime is 42437443. The reversal of 42437440 is 4473424.

It can be written as a sum of positive squares in 8 ways, for example, as 1272384 + 41165056 = 1128^2 + 6416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42437399 and 42437408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42437443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157626 + ... + 157894.

Almost surely, 2^42437440 is an apocalyptic number.

42437440 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 42437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55549800).

42437440 is an abundant number, since it is smaller than the sum of its proper divisors (68662160).

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

42437440 is a wasteful number, since it uses less digits than its factorization.

42437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 42437440 is about 6514.4025052187. The cubic root of 42437440 is about 348.8052870730.

The spelling of 42437440 in words is "forty-two million, four hundred thirty-seven thousand, four hundred forty".