42722989920 has 480 divisors, whose sum is σ = 163207820160. Its totient is φ = 10462556160.

The previous prime is 42722989909. The next prime is 42722989943. The reversal of 42722989920 is 2998922724.

42722989920 is a `hidden beast` number, since 427 + 22 + 98 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40266190 + ... + 40267250.

It is an arithmetic number, because the mean of its divisors is an integer number (340016292).

Almost surely, 2^42722989920 is an apocalyptic number.

42722989920 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 42722989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81603910080).

42722989920 is an abundant number, since it is smaller than the sum of its proper divisors (120484830240).

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

42722989920 is a wasteful number, since it uses less digits than its factorization.

42722989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 42722989920 in words is "forty-two billion, seven hundred twenty-two million, nine hundred eighty-nine thousand, nine hundred twenty".