42440226384960 has 560 divisors, whose sum is σ = 157168292632560. Its totient is φ = 10857508945920.

The previous prime is 42440226384947. The next prime is 42440226384973. The reversal of 42440226384960 is 6948362204424.

It is a happy number.

42440226384960 is a `hidden beast` number, since 4 + 2 + 440 + 2 + 2 + 63 + 84 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (42440226384947) and next prime (42440226384973).

It can be written as a sum of positive squares in 8 ways, for example, as 1399905446976 + 41040320937984 = 1183176^2 + 6406272^2 .

It is a super-2 number, since 2×42440226384960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42440226384897 and 42440226384906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117833950 + ... + 118193570.

Almost surely, 2^{42440226384960} is an apocalyptic number.

42440226384960 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 42440226384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78584146316280).

42440226384960 is an abundant number, since it is smaller than the sum of its proper divisors (114728066247600).

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

42440226384960 is a wasteful number, since it uses less digits than its factorization.

42440226384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359836 (or 359817 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 42440226384960 in words is "forty-two trillion, four hundred forty billion, two hundred twenty-six million, three hundred eighty-four thousand, nine hundred sixty".