42114844800 has 576 divisors, whose sum is σ = 172546545600. Its totient is φ = 9581322240.

The previous prime is 42114844771. The next prime is 42114844819. The reversal of 42114844800 is 844841124.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63906871 + ... + 63907529.

It is an arithmetic number, because the mean of its divisors is an integer number (299559975).

Almost surely, 2^42114844800 is an apocalyptic number.

42114844800 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 42114844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86273272800).

42114844800 is an abundant number, since it is smaller than the sum of its proper divisors (130431700800).

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

42114844800 is a wasteful number, since it uses less digits than its factorization.

42114844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 42114844800 in words is "forty-two billion, one hundred fourteen million, eight hundred forty-four thousand, eight hundred".