42900048000000 has 924 divisors, whose sum is σ = 160194090505020. Its totient is φ = 11044454400000.

The previous prime is 42900047999989. The next prime is 42900048000037. The reversal of 42900048000000 is 84000924.

It can be written as a sum of positive squares in 14 ways, for example, as 30813689816064 + 12086358183936 = 5551008^2 + 3476544^2 .

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 83 ways as a sum of consecutive naturals, for example, 4175994864 + ... + 4176005136.

Almost surely, 2^{42900048000000} is an apocalyptic number.

42900048000000 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 42900048000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80097045252510).

42900048000000 is an abundant number, since it is smaller than the sum of its proper divisors (117294042505020).

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

42900048000000 is an equidigital number, since it uses as much as digits as its factorization.

42900048000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 42900048000000 in words is "forty-two trillion, nine hundred billion, forty-eight million", and thus it is an aban number.