42415344720 has 360 divisors, whose sum is σ = 168426128520. Its totient is φ = 9535518720.

The previous prime is 42415344703. The next prime is 42415344731. The reversal of 42415344720 is 2744351424.

42415344720 is a `hidden beast` number, since 4 + 241 + 5 + 344 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 42388221456 = 5208^2 + 205884^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×42415344720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2142226 + ... + 2161934.

It is an arithmetic number, because the mean of its divisors is an integer number (467850357).

Almost surely, 2^42415344720 is an apocalyptic number.

42415344720 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 42415344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84213064260).

42415344720 is an abundant number, since it is smaller than the sum of its proper divisors (126010783800).

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

42415344720 is a wasteful number, since it uses less digits than its factorization.

42415344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19803 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42415344720 in words is "forty-two billion, four hundred fifteen million, three hundred forty-four thousand, seven hundred twenty".