42505148880 has 240 divisors, whose sum is σ = 144416288016. Its totient is φ = 11202723840.

The previous prime is 42505148879. The next prime is 42505148893. The reversal of 42505148880 is 8884150524.

42505148880 is a `hidden beast` number, since 4 + 2 + 50 + 514 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10338008976 + 32167139904 = 101676^2 + 179352^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 48246040 + ... + 48246920.

Almost surely, 2^42505148880 is an apocalyptic number.

42505148880 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 42505148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72208144008).

42505148880 is an abundant number, since it is smaller than the sum of its proper divisors (101911139136).

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

42505148880 is a wasteful number, since it uses less digits than its factorization.

42505148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 42505148880 in words is "forty-two billion, five hundred five million, one hundred forty-eight thousand, eight hundred eighty".