42910650720 has 288 divisors, whose sum is σ = 173550843648. Its totient is φ = 9808086528.

The previous prime is 42910650697. The next prime is 42910650737. The reversal of 42910650720 is 2705601924.

42910650720 is a `hidden beast` number, since 4 + 29 + 106 + 507 + 20 = 666.

42910650720 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 (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193327 + ... + 350993.

It is an arithmetic number, because the mean of its divisors is an integer number (602607096).

Almost surely, 2^42910650720 is an apocalyptic number.

42910650720 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 42910650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86775421824).

42910650720 is an abundant number, since it is smaller than the sum of its proper divisors (130640192928).

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

42910650720 is a wasteful number, since it uses less digits than its factorization.

42910650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157704 (or 157684 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 42910650720 in words is "forty-two billion, nine hundred ten million, six hundred fifty thousand, seven hundred twenty".