42389930880 has 768 divisors, whose sum is σ = 168412608000. Its totient is φ = 10102579200.

The previous prime is 42389930861. The next prime is 42389930887. The reversal of 42389930880 is 8803998324.

It is a happy number.

It is a super-2 number, since 2×42389930880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42389930887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121460946 + ... + 121461294.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 2^42389930880 is an apocalyptic number.

42389930880 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 42389930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304000).

42389930880 is an abundant number, since it is smaller than the sum of its proper divisors (126022677120).

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

42389930880 is a wasteful number, since it uses less digits than its factorization.

42389930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42389930880 in words is "forty-two billion, three hundred eighty-nine million, nine hundred thirty thousand, eight hundred eighty".