42072445440 has 320 divisors, whose sum is σ = 153493211520. Its totient is φ = 10915430400.

The previous prime is 42072445417. The next prime is 42072445483. The reversal of 42072445440 is 4454427024.

42072445440 is a `hidden beast` number, since 4 + 2 + 0 + 72 + 44 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 42072445395 and 42072445404.

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, 2549215 + ... + 2565665.

It is an arithmetic number, because the mean of its divisors is an integer number (479666286).

Almost surely, 2^42072445440 is an apocalyptic number.

42072445440 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 42072445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76746605760).

42072445440 is an abundant number, since it is smaller than the sum of its proper divisors (111420766080).

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

42072445440 is a wasteful number, since it uses less digits than its factorization.

42072445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 42072445440 in words is "forty-two billion, seventy-two million, four hundred forty-five thousand, four hundred forty".