42026027040 has 480 divisors, whose sum is σ = 157733896320. Its totient is φ = 10507677696.

The previous prime is 42026027033. The next prime is 42026027047. The reversal of 42026027040 is 4072062024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42026027033) and next prime (42026027047).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42026027040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42026026995 and 42026027013.

It is not an unprimeable number, because it can be changed into a prime (42026027047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25361892 + ... + 25363548.

It is an arithmetic number, because the mean of its divisors is an integer number (328612284).

Almost surely, 2^42026027040 is an apocalyptic number.

42026027040 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 42026027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78866948160).

42026027040 is an abundant number, since it is smaller than the sum of its proper divisors (115707869280).

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

42026027040 is a wasteful number, since it uses less digits than its factorization.

42026027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 42026027040 its reverse (4072062024), we get a palindrome (46098089064).

The spelling of 42026027040 in words is "forty-two billion, twenty-six million, twenty-seven thousand, forty".