42071581440 has 1152 divisors, whose sum is σ = 183430195200. Its totient is φ = 9029615616.

The previous prime is 42071581429. The next prime is 42071581463. The reversal of 42071581440 is 4418517024.

It is a happy number.

42071581440 is a `hidden beast` number, since 4 + 2 + 0 + 71 + 581 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 42071581395 and 42071581404.

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, 372314824 + ... + 372314936.

It is an arithmetic number, because the mean of its divisors is an integer number (159227600).

Almost surely, 2^42071581440 is an apocalyptic number.

42071581440 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 42071581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91715097600).

42071581440 is an abundant number, since it is smaller than the sum of its proper divisors (141358613760).

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

42071581440 is an equidigital number, since it uses as much as digits as its factorization.

42071581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 42071581440 in words is "forty-two billion, seventy-one million, five hundred eighty-one thousand, four hundred forty".