42913615360 has 320 divisors, whose sum is σ = 132722219520. Its totient is φ = 12912721920.

The previous prime is 42913615333. The next prime is 42913615369. The reversal of 42913615360 is 6351631924.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42913615369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5712727 + ... + 5720233.

It is an arithmetic number, because the mean of its divisors is an integer number (414756936).

Almost surely, 2^42913615360 is an apocalyptic number.

42913615360 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 42913615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361109760).

42913615360 is an abundant number, since it is smaller than the sum of its proper divisors (89808604160).

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

42913615360 is a wasteful number, since it uses less digits than its factorization.

42913615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 42913615360 in words is "forty-two billion, nine hundred thirteen million, six hundred fifteen thousand, three hundred sixty".