42932736000 has 1248 divisors, whose sum is σ = 194552107776. Its totient is φ = 8921088000.

The previous prime is 42932735999. The next prime is 42932736001. The reversal of 42932736000 is 63723924.

It is a happy number.

42932736000 is a `hidden beast` number, since 4 + 29 + 3 + 27 + 3 + 600 + 0 = 666.

42932736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42932735999) and next prime (42932736001).

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

It is not an unprimeable number, because it can be changed into a prime (42932736001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3902975995 + ... + 3902976005.

It is an arithmetic number, because the mean of its divisors is an integer number (155891112).

Almost surely, 2^42932736000 is an apocalyptic number.

42932736000 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 42932736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97276053888).

42932736000 is an abundant number, since it is smaller than the sum of its proper divisors (151619371776).

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

42932736000 is an equidigital number, since it uses as much as digits as its factorization.

42932736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 42932736000 in words is "forty-two billion, nine hundred thirty-two million, seven hundred thirty-six thousand".