42274780554240 has 880 divisors, whose sum is σ = 167121849510000. Its totient is φ = 10152239431680.

The previous prime is 42274780554211. The next prime is 42274780554247. The reversal of 42274780554240 is 4245508747224.

42274780554240 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 4 + 7 + 80 + 554 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10809681444864 + 31465099109376 = 3287808^2 + 5609376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42274780554247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 220950136 + ... + 221141384.

It is an arithmetic number, because the mean of its divisors is an integer number (189911192625).

Almost surely, 2^{42274780554240} is an apocalyptic number.

42274780554240 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 42274780554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83560924755000).

42274780554240 is an abundant number, since it is smaller than the sum of its proper divisors (124847068955760).

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

42274780554240 is a wasteful number, since it uses less digits than its factorization.

42274780554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191340 (or 191313 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 54.

The spelling of 42274780554240 in words is "forty-two trillion, two hundred seventy-four billion, seven hundred eighty million, five hundred fifty-four thousand, two hundred forty".