42614784000 has 648 divisors, whose sum is σ = 163209183228. Its totient is φ = 10695475200.

The previous prime is 42614783987. The next prime is 42614784029. The reversal of 42614784000 is 48741624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 8923447296 + 33691336704 = 94464^2 + 183552^2 .

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 35 ways as a sum of consecutive naturals, for example, 2506751992 + ... + 2506752008.

Almost surely, 2^42614784000 is an apocalyptic number.

42614784000 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 42614784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81604591614).

42614784000 is an abundant number, since it is smaller than the sum of its proper divisors (120594399228).

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

42614784000 is an frugal number, since it uses more digits than its factorization.

42614784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 42614784000 in words is "forty-two billion, six hundred fourteen million, seven hundred eighty-four thousand".