40421442214420 has 96 divisors (see below), whose sum is σ = 88284410676000. Its totient is φ = 15527120953344.

The previous prime is 40421442214399. The next prime is 40421442214441. The reversal of 40421442214420 is 2441224412404.

It is an interprime number because it is at equal distance from previous prime (40421442214399) and next prime (40421442214441).

It can be written as a sum of positive squares in 16 ways, for example, as 4359351464836 + 36062090749584 = 2087906^2 + 6005172^2 .

It is a super-3 number, since 3×40421442214420³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392203056 + ... + 392306104.

It is an arithmetic number, because the mean of its divisors is an integer number (919629277875).

Almost surely, 2^{40421442214420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40421442214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44142205338000).

40421442214420 is an abundant number, since it is smaller than the sum of its proper divisors (47862968461580).

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

40421442214420 is a wasteful number, since it uses less digits than its factorization.

40421442214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106717 (or 106715 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 40421442214420 its reverse (2441224412404), we get a palindrome (42862666626824).

The spelling of 40421442214420 in words is "forty trillion, four hundred twenty-one billion, four hundred forty-two million, two hundred fourteen thousand, four hundred twenty".