42433219046592 has 1344 divisors, whose sum is σ = 146870376726528. Its totient is φ = 11584954368000.

The previous prime is 42433219046527. The next prime is 42433219046641. The reversal of 42433219046592 is 29564091233424.

It is a happy number.

42433219046592 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 3 + 2 + 1 + 9 + 0 + 46 + 592 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15792041473 + ... + 15792044159.

It is an arithmetic number, because the mean of its divisors is an integer number (109278554112).

Almost surely, 2^{42433219046592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42433219046592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73435188363264).

42433219046592 is an abundant number, since it is smaller than the sum of its proper divisors (104437157679936).

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

42433219046592 is a wasteful number, since it uses less digits than its factorization.

42433219046592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 42433219046592 in words is "forty-two trillion, four hundred thirty-three billion, two hundred nineteen million, forty-six thousand, five hundred ninety-two".