42645841920 has 1152 divisors, whose sum is σ = 176620953600. Its totient is φ = 9407692800.

The previous prime is 42645841873. The next prime is 42645841921. The reversal of 42645841920 is 2914854624.

It is a happy number.

42645841920 is a `hidden beast` number, since 4 + 2 + 6 + 458 + 4 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42645841921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 722810851 + ... + 722810909.

It is an arithmetic number, because the mean of its divisors is an integer number (153316800).

Almost surely, 2^42645841920 is an apocalyptic number.

42645841920 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 42645841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88310476800).

42645841920 is an abundant number, since it is smaller than the sum of its proper divisors (133975111680).

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

42645841920 is a wasteful number, since it uses less digits than its factorization.

42645841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42645841920 in words is "forty-two billion, six hundred forty-five million, eight hundred forty-one thousand, nine hundred twenty".