42839072640 has 896 divisors, whose sum is σ = 189169444800. Its totient is φ = 9029615616.

The previous prime is 42839072609. The next prime is 42839072663. The reversal of 42839072640 is 4627093824.

42839072640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×42839072640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456456 + ... + 42457464.

Almost surely, 2^42839072640 is an apocalyptic number.

42839072640 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 42839072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94584722400).

42839072640 is an abundant number, since it is smaller than the sum of its proper divisors (146330372160).

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

42839072640 is a wasteful number, since it uses less digits than its factorization.

42839072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42839072640 in words is "forty-two billion, eight hundred thirty-nine million, seventy-two thousand, six hundred forty".