42958305720 has 768 divisors, whose sum is σ = 169920374400. Its totient is φ = 9610444800.

The previous prime is 42958305623. The next prime is 42958305739. The reversal of 42958305720 is 2750385924.

42958305720 is a `hidden beast` number, since 4 + 29 + 58 + 3 + 0 + 572 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 135515002 + ... + 135515318.

Almost surely, 2^42958305720 is an apocalyptic number.

42958305720 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 42958305720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84960187200).

42958305720 is an abundant number, since it is smaller than the sum of its proper divisors (126962068680).

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

42958305720 is a wasteful number, since it uses less digits than its factorization.

42958305720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 42958305720 in words is "forty-two billion, nine hundred fifty-eight million, three hundred five thousand, seven hundred twenty".