42732748800000 has 2520 divisors, whose sum is σ = 190304272996992. Its totient is φ = 9342812160000.

The previous prime is 42732748799987. The next prime is 42732748800017. The reversal of 42732748800000 is 884723724.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1857945599989 + ... + 1857945600011.

Almost surely, 2^{42732748800000} is an apocalyptic number.

42732748800000 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 42732748800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95152136498496).

42732748800000 is an abundant number, since it is smaller than the sum of its proper divisors (147571524196992).

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

42732748800000 is an frugal number, since it uses more digits than its factorization.

42732748800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42732748800000 in words is "forty-two trillion, seven hundred thirty-two billion, seven hundred forty-eight million, eight hundred thousand".