42780242848000 has 288 divisors, whose sum is σ = 122305108423680. Its totient is φ = 14606123212800.

The previous prime is 42780242847973. The next prime is 42780242848003. The reversal of 42780242848000 is 84824208724.

It is a happy number.

It is a super-2 number, since 2×42780242848000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42780242848003) 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 31 ways as a sum of consecutive naturals, for example, 53136454 + ... + 53935546.

It is an arithmetic number, because the mean of its divisors is an integer number (424670515360).

Almost surely, 2^{42780242848000} is an apocalyptic number.

42780242848000 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 42780242848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152554211840).

42780242848000 is an abundant number, since it is smaller than the sum of its proper divisors (79524865575680).

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

42780242848000 is an equidigital number, since it uses as much as digits as its factorization.

42780242848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799370 (or 799346 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 49.

The spelling of 42780242848000 in words is "forty-two trillion, seven hundred eighty billion, two hundred forty-two million, eight hundred forty-eight thousand".