42354444130240 has 224 divisors, whose sum is σ = 115992622577664. Its totient is φ = 14580101775360.

The previous prime is 42354444130169. The next prime is 42354444130279. The reversal of 42354444130240 is 4203144445324.

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 = 42354444130193 and 42354444130202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5156457 + ... + 10549783.

It is an arithmetic number, because the mean of its divisors is an integer number (517824207936).

Almost surely, 2^{42354444130240} is an apocalyptic number.

42354444130240 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 42354444130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996311288832).

42354444130240 is an abundant number, since it is smaller than the sum of its proper divisors (73638178447424).

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

42354444130240 is a wasteful number, since it uses less digits than its factorization.

42354444130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393475 (or 5393465 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 42354444130240 its reverse (4203144445324), we get a palindrome (46557588575564).

The spelling of 42354444130240 in words is "forty-two trillion, three hundred fifty-four billion, four hundred forty-four million, one hundred thirty thousand, two hundred forty".