42564040 has 32 divisors (see below), whose sum is σ = 96075000. Its totient is φ = 16971264.

The previous prime is 42564013. The next prime is 42564043. The reversal of 42564040 is 4046524.

It can be written as a sum of positive squares in 4 ways, for example, as 30272004 + 12292036 = 5502^2 + 3506^2 .

It is a super-2 number, since 2×42564040² = 3623395002243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42563996 and 42564014.

It is not an unprimeable number, because it can be changed into a prime (42564043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12436 + ... + 15484.

Almost surely, 2^42564040 is an apocalyptic number.

42564040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42564040 is an abundant number, since it is smaller than the sum of its proper divisors (53510960).

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

42564040 is a wasteful number, since it uses less digits than its factorization.

42564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42564040 is about 6524.1122001388. The cubic root of 42564040 is about 349.1517964312.

The spelling of 42564040 in words is "forty-two million, five hundred sixty-four thousand, forty".