42370038144 has 512 divisors, whose sum is σ = 150666240000. Its totient is φ = 11705057280.

The previous prime is 42370038119. The next prime is 42370038157. The reversal of 42370038144 is 44183007324.

42370038144 is a `hidden beast` number, since 4 + 237 + 0 + 0 + 381 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42370038099 and 42370038108.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36747072 + ... + 36748224.

It is an arithmetic number, because the mean of its divisors is an integer number (294270000).

Almost surely, 2^42370038144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42370038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75333120000).

42370038144 is an abundant number, since it is smaller than the sum of its proper divisors (108296201856).

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

42370038144 is a wasteful number, since it uses less digits than its factorization.

42370038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42370038144 in words is "forty-two billion, three hundred seventy million, thirty-eight thousand, one hundred forty-four".