42433733760000 has 440 divisors, whose sum is σ = 154179865824864. Its totient is φ = 10286960640000.

The previous prime is 42433733759981. The next prime is 42433733760007. The reversal of 42433733760000 is 6733733424.

It is a tau number, because it is divible by the number of its divisors (440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433733760007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20115414 + ... + 22124586.

Almost surely, 2^{42433733760000} is an apocalyptic number.

42433733760000 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 42433733760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77089932912432).

42433733760000 is an abundant number, since it is smaller than the sum of its proper divisors (111746132064864).

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

42433733760000 is a wasteful number, since it uses less digits than its factorization.

42433733760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009227 (or 2009194 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 42.

The spelling of 42433733760000 in words is "forty-two trillion, four hundred thirty-three billion, seven hundred thirty-three million, seven hundred sixty thousand".