42751330848000 has 1440 divisors, whose sum is σ = 164343117818880. Its totient is φ = 11029627699200.

The previous prime is 42751330847983. The next prime is 42751330848053. The reversal of 42751330848000 is 84803315724.

42751330848000 is a `hidden beast` number, since 4 + 27 + 513 + 30 + 8 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 10842334029 + ... + 10842337971.

It is an arithmetic number, because the mean of its divisors is an integer number (114127165152).

Almost surely, 2^{42751330848000} is an apocalyptic number.

42751330848000 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 42751330848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82171558909440).

42751330848000 is an abundant number, since it is smaller than the sum of its proper divisors (121591786970880).

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

42751330848000 is an equidigital number, since it uses as much as digits as its factorization.

42751330848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42751330848000 in words is "forty-two trillion, seven hundred fifty-one billion, three hundred thirty million, eight hundred forty-eight thousand".