42481152000 has 832 divisors, whose sum is σ = 179913676800. Its totient is φ = 9687859200.

The previous prime is 42481151989. The next prime is 42481152001. The reversal of 42481152000 is 25118424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42481152001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96767781 + ... + 96768219.

It is an arithmetic number, because the mean of its divisors is an integer number (216242400).

Almost surely, 2^42481152000 is an apocalyptic number.

42481152000 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 42481152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89956838400).

42481152000 is an abundant number, since it is smaller than the sum of its proper divisors (137432524800).

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

42481152000 is an equidigital number, since it uses as much as digits as its factorization.

42481152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

It can be divided in two parts, 42481 and 152000, that added together give a 4-th power (194481 = 21⁴).

The spelling of 42481152000 in words is "forty-two billion, four hundred eighty-one million, one hundred fifty-two thousand".