42432606720 has 480 divisors, whose sum is σ = 168693452928. Its totient is φ = 9656008704.

The previous prime is 42432606709. The next prime is 42432606731. The reversal of 42432606720 is 2760623424.

42432606720 is a `hidden beast` number, since 4 + 2 + 43 + 2 + 606 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42432606709) and next prime (42432606731).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42432606720² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49512532 + ... + 49513388.

Almost surely, 2^42432606720 is an apocalyptic number.

42432606720 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 42432606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84346726464).

42432606720 is an abundant number, since it is smaller than the sum of its proper divisors (126260846208).

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

42432606720 is a wasteful number, since it uses less digits than its factorization.

42432606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 42432606720 in words is "forty-two billion, four hundred thirty-two million, six hundred six thousand, seven hundred twenty".