42934406400000 has 1728 divisors, whose sum is σ = 169309735358400. Its totient is φ = 10839121920000.

The previous prime is 42934406399987. The next prime is 42934406400001. The reversal of 42934406400000 is 460443924.

42934406400000 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 4 + 4 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (42934406400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29548799274 + ... + 29548800726.

It is an arithmetic number, because the mean of its divisors is an integer number (97980170925).

Almost surely, 2^{42934406400000} is an apocalyptic number.

42934406400000 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 42934406400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84654867679200).

42934406400000 is an abundant number, since it is smaller than the sum of its proper divisors (126375328958400).

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

42934406400000 is an frugal number, since it uses more digits than its factorization.

42934406400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 42934406400000 its reverse (460443924), we get a palindrome (42934866843924).

The spelling of 42934406400000 in words is "forty-two trillion, nine hundred thirty-four billion, four hundred six million, four hundred thousand".