42278544000 has 2048 divisors, whose sum is σ = 205302988800. Its totient is φ = 8294400000.

The previous prime is 42278543939. The next prime is 42278544023. The reversal of 42278544000 is 44587224.

42278544000 is a `hidden beast` number, since 42 + 2 + 78 + 544 + 0 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1031183980 + ... + 1031184020.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 2^42278544000 is an apocalyptic number.

42278544000 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 42278544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102651494400).

42278544000 is an abundant number, since it is smaller than the sum of its proper divisors (163024444800).

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

42278544000 is a wasteful number, since it uses less digits than its factorization.

42278544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 42278544000 in words is "forty-two billion, two hundred seventy-eight million, five hundred forty-four thousand".