40422867434004 has 192 divisors, whose sum is σ = 110714094812160. Its totient is φ = 11342268241920.

The previous prime is 40422867433999. The next prime is 40422867434009. The reversal of 40422867434004 is 40043476822404.

40422867434004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40422867433999) and next prime (40422867434009).

It is a super-2 number, since 2×40422867434004² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40422867434009) 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 63 ways as a sum of consecutive naturals, for example, 118153062 + ... + 118494690.

It is an arithmetic number, because the mean of its divisors is an integer number (576635910480).

Almost surely, 2^{40422867434004} is an apocalyptic number.

40422867434004 is a gapful number since it is divisible by the number (44) 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 40422867434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55357047406080).

40422867434004 is an abundant number, since it is smaller than the sum of its proper divisors (70291227378156).

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

40422867434004 is a wasteful number, since it uses less digits than its factorization.

40422867434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342518 (or 342516 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 48.

The spelling of 40422867434004 in words is "forty trillion, four hundred twenty-two billion, eight hundred sixty-seven million, four hundred thirty-four thousand, four".