42233365440 has 896 divisors, whose sum is σ = 180082667520. Its totient is φ = 9109241856.

The previous prime is 42233365429. The next prime is 42233365441. The reversal of 42233365440 is 4456333224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42233365395 and 42233365404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233365441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134930724 + ... + 134931036.

It is an arithmetic number, because the mean of its divisors is an integer number (200985120).

Almost surely, 2^42233365440 is an apocalyptic number.

42233365440 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 42233365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90041333760).

42233365440 is an abundant number, since it is smaller than the sum of its proper divisors (137849302080).

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

42233365440 is a wasteful number, since it uses less digits than its factorization.

42233365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 42233365440 its reverse (4456333224), we get a palindrome (46689698664).

The spelling of 42233365440 in words is "forty-two billion, two hundred thirty-three million, three hundred sixty-five thousand, four hundred forty".