42735540 has 48 divisors (see below), whose sum is σ = 120032640. Its totient is φ = 11360640.

The previous prime is 42735533. The next prime is 42735599. The reversal of 42735540 is 4553724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42735498 and 42735507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22425 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (2500680).

Almost surely, 2^42735540 is an apocalyptic number.

It is an amenable number.

42735540 is an abundant number, since it is smaller than the sum of its proper divisors (77297100).

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

42735540 is a wasteful number, since it uses less digits than its factorization.

42735540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 42735540 is about 6537.2425379513. The cubic root of 42735540 is about 349.6201048121.

The spelling of 42735540 in words is "forty-two million, seven hundred thirty-five thousand, five hundred forty".