42472003242240 has 2880 divisors, whose sum is σ = 185017425626880. Its totient is φ = 9164343214080.

The previous prime is 42472003242187. The next prime is 42472003242341. The reversal of 42472003242240 is 4224230027424.

42472003242240 is a `hidden beast` number, since 4 + 24 + 7 + 200 + 3 + 2 + 422 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 42472003242195 and 42472003242204.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76251352042 + ... + 76251352598.

It is an arithmetic number, because the mean of its divisors is an integer number (64242161676).

Almost surely, 2^{42472003242240} is an apocalyptic number.

42472003242240 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 42472003242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92508712813440).

42472003242240 is an abundant number, since it is smaller than the sum of its proper divisors (142545422384640).

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

42472003242240 is a wasteful number, since it uses less digits than its factorization.

42472003242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

Adding to 42472003242240 its reverse (4224230027424), we get a palindrome (46696233269664).

The spelling of 42472003242240 in words is "forty-two trillion, four hundred seventy-two billion, three million, two hundred forty-two thousand, two hundred forty".