42415488000 has 440 divisors, whose sum is σ = 158111491824. Its totient is φ = 11308032000.

The previous prime is 42415487999. The next prime is 42415488023. The reversal of 42415488000 is 88451424.

42415488000 is a `hidden beast` number, since 424 + 154 + 8 + 80 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10365955 + ... + 10370045.

Almost surely, 2^42415488000 is an apocalyptic number.

42415488000 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 42415488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79055745912).

42415488000 is an abundant number, since it is smaller than the sum of its proper divisors (115696003824).

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

42415488000 is an equidigital number, since it uses as much as digits as its factorization.

42415488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 42415488000 in words is "forty-two billion, four hundred fifteen million, four hundred eighty-eight thousand".