42054452440 has 512 divisors, whose sum is σ = 138927882240. Its totient is φ = 11014963200.

The previous prime is 42054452383. The next prime is 42054452477. The reversal of 42054452440 is 4425445024.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 42054452396 and 42054452405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21100084 + ... + 21102076.

It is an arithmetic number, because the mean of its divisors is an integer number (271343520).

Almost surely, 2^42054452440 is an apocalyptic number.

42054452440 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 42054452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69463941120).

42054452440 is an abundant number, since it is smaller than the sum of its proper divisors (96873429800).

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

42054452440 is a wasteful number, since it uses less digits than its factorization.

42054452440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

Adding to 42054452440 its reverse (4425445024), we get a palindrome (46479897464).

It can be divided in two parts, 42054 and 452440, that added together give a palindrome (494494).

The spelling of 42054452440 in words is "forty-two billion, fifty-four million, four hundred fifty-two thousand, four hundred forty".