42416512320 has 672 divisors, whose sum is σ = 176545329408. Its totient is φ = 8422981632.

The previous prime is 42416512289. The next prime is 42416512349. The reversal of 42416512320 is 2321561424.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4394 × 3094 × 3120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2495088952 + ... + 2495088968.

It is an arithmetic number, because the mean of its divisors is an integer number (262716264).

Almost surely, 2^42416512320 is an apocalyptic number.

42416512320 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 42416512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88272664704).

42416512320 is an abundant number, since it is smaller than the sum of its proper divisors (134128817088).

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

42416512320 is an frugal number, since it uses more digits than its factorization.

42416512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 42416512320 in words is "forty-two billion, four hundred sixteen million, five hundred twelve thousand, three hundred twenty".