42910801920 has 896 divisors, whose sum is σ = 182692730880. Its totient is φ = 9342812160.

The previous prime is 42910801919. The next prime is 42910801933. The reversal of 42910801920 is 2910801924.

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178053000 + ... + 178053240.

Almost surely, 2^42910801920 is an apocalyptic number.

42910801920 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 42910801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91346365440).

42910801920 is an abundant number, since it is smaller than the sum of its proper divisors (139781928960).

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

42910801920 is a wasteful number, since it uses less digits than its factorization.

42910801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 42910801920 in words is "forty-two billion, nine hundred ten million, eight hundred one thousand, nine hundred twenty".