42240957708240 has 1120 divisors, whose sum is σ = 156735536855040. Its totient is φ = 10563814195200.

The previous prime is 42240957708233. The next prime is 42240957708241. The reversal of 42240957708240 is 4280775904224.

42240957708240 is a `hidden beast` number, since 4 + 2 + 2 + 40 + 9 + 577 + 0 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240957708241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13890481120 + ... + 13890484160.

Almost surely, 2^{42240957708240} is an apocalyptic number.

42240957708240 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 42240957708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78367768427520).

42240957708240 is an abundant number, since it is smaller than the sum of its proper divisors (114494579146800).

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

42240957708240 is a wasteful number, since it uses less digits than its factorization.

42240957708240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42240957708240 in words is "forty-two trillion, two hundred forty billion, nine hundred fifty-seven million, seven hundred eight thousand, two hundred forty".