42006446040 has 64 divisors (see below), whose sum is σ = 135713138400. Its totient is φ = 10340047872.

The previous prime is 42006446033. The next prime is 42006446047. The reversal of 42006446040 is 4064460024.

It is an interprime number because it is at equal distance from previous prime (42006446033) and next prime (42006446047).

It is a super-2 number, since 2×42006446040² (a number of 22 digits) contains 22 as substring.

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 = 42006445989 and 42006446007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42006446047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13462045 + ... + 13465164.

Almost surely, 2^42006446040 is an apocalyptic number.

42006446040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42006446040 is an abundant number, since it is smaller than the sum of its proper divisors (93706692360).

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

42006446040 is a wasteful number, since it uses less digits than its factorization.

42006446040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26927236 (or 26927232 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 42006446040 in words is "forty-two billion, six million, four hundred forty-six thousand, forty".