42815394720 has 672 divisors, whose sum is σ = 177689272320. Its totient is φ = 9540218880.

The previous prime is 42815394697. The next prime is 42815394733. The reversal of 42815394720 is 2749351824.

42815394720 is a `hidden beast` number, since 4 + 28 + 153 + 9 + 472 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33475041 + ... + 33476319.

It is an arithmetic number, because the mean of its divisors is an integer number (264418560).

Almost surely, 2^42815394720 is an apocalyptic number.

42815394720 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 42815394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88844636160).

42815394720 is an abundant number, since it is smaller than the sum of its proper divisors (134873877600).

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

42815394720 is a wasteful number, since it uses less digits than its factorization.

42815394720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42815394720 in words is "forty-two billion, eight hundred fifteen million, three hundred ninety-four thousand, seven hundred twenty".