42357126240 has 1152 divisors, whose sum is σ = 180994020480. Its totient is φ = 8876851200.

The previous prime is 42357126239. The next prime is 42357126257. The reversal of 42357126240 is 4262175324.

42357126240 is a `hidden beast` number, since 4 + 2 + 357 + 1 + 262 + 40 = 666.

42357126240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42357126240² (a number of 22 digits) contains 22 as substring.

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 = 42357126195 and 42357126204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244838794 + ... + 244838966.

It is an arithmetic number, because the mean of its divisors is an integer number (157112865).

Almost surely, 2^42357126240 is an apocalyptic number.

42357126240 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 42357126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90497010240).

42357126240 is an abundant number, since it is smaller than the sum of its proper divisors (138636894240).

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

42357126240 is a wasteful number, since it uses less digits than its factorization.

42357126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42357126240 in words is "forty-two billion, three hundred fifty-seven million, one hundred twenty-six thousand, two hundred forty".