42812242636800 has 1248 divisors, whose sum is σ = 174514467359232. Its totient is φ = 9017323683840.

The previous prime is 42812242636783. The next prime is 42812242636939. The reversal of 42812242636800 is 863624221824.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42812242636800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23957605507 + ... + 23957607293.

It is an arithmetic number, because the mean of its divisors is an integer number (139835310384).

Almost surely, 2^{42812242636800} is an apocalyptic number.

42812242636800 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 42812242636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87257233679616).

42812242636800 is an abundant number, since it is smaller than the sum of its proper divisors (131702224722432).

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

42812242636800 is a wasteful number, since it uses less digits than its factorization.

42812242636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 42812242636800 in words is "forty-two trillion, eight hundred twelve billion, two hundred forty-two million, six hundred thirty-six thousand, eight hundred".