42444545440 has 192 divisors, whose sum is σ = 111998194560. Its totient is φ = 15069450240.

The previous prime is 42444545399. The next prime is 42444545447. The reversal of 42444545440 is 4454544424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42444545393 and 42444545402.

It is not an unprimeable number, because it can be changed into a prime (42444545447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21360127 + ... + 21362113.

It is an arithmetic number, because the mean of its divisors is an integer number (583323930).

Almost surely, 2^42444545440 is an apocalyptic number.

42444545440 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 42444545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55999097280).

42444545440 is an abundant number, since it is smaller than the sum of its proper divisors (69553649120).

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

42444545440 is a wasteful number, since it uses less digits than its factorization.

42444545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 40.

The spelling of 42444545440 in words is "forty-two billion, four hundred forty-four million, five hundred forty-five thousand, four hundred forty".