42624486144000 has 2304 divisors, whose sum is σ = 171797239111680. Its totient is φ = 10521612288000.

The previous prime is 42624486143929. The next prime is 42624486144007. The reversal of 42624486144000 is 44168442624.

42624486144000 is a `hidden beast` number, since 4 + 2 + 6 + 24 + 4 + 8 + 614 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42624486144007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1374983423985 + ... + 1374983424015.

It is an arithmetic number, because the mean of its divisors is an integer number (74564773920).

Almost surely, 2^{42624486144000} is an apocalyptic number.

42624486144000 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 42624486144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85898619555840).

42624486144000 is an abundant number, since it is smaller than the sum of its proper divisors (129172752967680).

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

42624486144000 is an frugal number, since it uses more digits than its factorization.

42624486144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 42624486144000 in words is "forty-two trillion, six hundred twenty-four billion, four hundred eighty-six million, one hundred forty-four thousand".