42281747988480 has 3840 divisors, whose sum is σ = 204833489817600. Its totient is φ = 8038215843840.

The previous prime is 42281747988457. The next prime is 42281747988523. The reversal of 42281747988480 is 8488974718224.

42281747988480 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 1 + 74 + 79 + 8 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×42281747988480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42281747988399 and 42281747988408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 374174760904 + ... + 374174761016.

It is an arithmetic number, because the mean of its divisors is an integer number (53342054640).

Almost surely, 2^{42281747988480} is an apocalyptic number.

42281747988480 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 42281747988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102416744908800).

42281747988480 is an abundant number, since it is smaller than the sum of its proper divisors (162551741829120).

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

42281747988480 is a wasteful number, since it uses less digits than its factorization.

42281747988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 42281747988480 in words is "forty-two trillion, two hundred eighty-one billion, seven hundred forty-seven million, nine hundred eighty-eight thousand, four hundred eighty".