42984818240 has 448 divisors, whose sum is σ = 137741119488. Its totient is φ = 12386304000.

The previous prime is 42984818231. The next prime is 42984818249. The reversal of 42984818240 is 4281848924.

It is an interprime number because it is at equal distance from previous prime (42984818231) and next prime (42984818249).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (42984818249) 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, 15344840 + ... + 15347640.

It is an arithmetic number, because the mean of its divisors is an integer number (307457856).

Almost surely, 2^42984818240 is an apocalyptic number.

42984818240 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 42984818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68870559744).

42984818240 is an abundant number, since it is smaller than the sum of its proper divisors (94756301248).

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

42984818240 is a wasteful number, since it uses less digits than its factorization.

42984818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

The spelling of 42984818240 in words is "forty-two billion, nine hundred eighty-four million, eight hundred eighteen thousand, two hundred forty".