42984784596480 has 480 divisors, whose sum is σ = 141379564566240. Its totient is φ = 11141108858880.

The previous prime is 42984784596449. The next prime is 42984784596491. The reversal of 42984784596480 is 8469548748924.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 42984784596396 and 42984784596405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15024390250 + ... + 15024393110.

It is an arithmetic number, because the mean of its divisors is an integer number (294540759513).

Almost surely, 2^{42984784596480} is an apocalyptic number.

42984784596480 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 42984784596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70689782283120).

42984784596480 is an abundant number, since it is smaller than the sum of its proper divisors (98394779969760).

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

42984784596480 is a wasteful number, since it uses less digits than its factorization.

42984784596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 78.

The spelling of 42984784596480 in words is "forty-two trillion, nine hundred eighty-four billion, seven hundred eighty-four million, five hundred ninety-six thousand, four hundred eighty".