42552433440 has 576 divisors, whose sum is σ = 176578496640. Its totient is φ = 9196830720.

The previous prime is 42552433397. The next prime is 42552433489. The reversal of 42552433440 is 4433425524.

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 = 42552433395 and 42552433404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5112162 + ... + 5120478.

It is an arithmetic number, because the mean of its divisors is an integer number (306559890).

Almost surely, 2^42552433440 is an apocalyptic number.

42552433440 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 42552433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88289248320).

42552433440 is an abundant number, since it is smaller than the sum of its proper divisors (134026063200).

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

42552433440 is a wasteful number, since it uses less digits than its factorization.

42552433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 42552433440 its reverse (4433425524), we get a palindrome (46985858964).

The spelling of 42552433440 in words is "forty-two billion, five hundred fifty-two million, four hundred thirty-three thousand, four hundred forty".