42482531520 has 672 divisors, whose sum is σ = 177637561920. Its totient is φ = 9176186880.

The previous prime is 42482531519. The next prime is 42482531543. The reversal of 42482531520 is 2513528424.

42482531520 is a `hidden beast` number, since 4 + 2 + 4 + 82 + 53 + 1 + 520 = 666.

42482531520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11941582 + ... + 11945138.

It is an arithmetic number, because the mean of its divisors is an integer number (264341610).

Almost surely, 2^42482531520 is an apocalyptic number.

42482531520 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 42482531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88818780960).

42482531520 is an abundant number, since it is smaller than the sum of its proper divisors (135155030400).

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

42482531520 is a wasteful number, since it uses less digits than its factorization.

42482531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42482531520 in words is "forty-two billion, four hundred eighty-two million, five hundred thirty-one thousand, five hundred twenty".