42033402405000 has 1440 divisors, whose sum is σ = 153903283934400. Its totient is φ = 10338565248000.

The previous prime is 42033402404927. The next prime is 42033402405011. The reversal of 42033402405000 is 50420433024.

42033402405000 is a `hidden beast` number, since 4 + 203 + 3 + 402 + 4 + 0 + 50 + 0 + 0 = 666.

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 359 ways as a sum of consecutive naturals, for example, 385627544946 + ... + 385627545054.

It is an arithmetic number, because the mean of its divisors is an integer number (106877280510).

Almost surely, 2^{42033402405000} is an apocalyptic number.

42033402405000 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 42033402405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76951641967200).

42033402405000 is an abundant number, since it is smaller than the sum of its proper divisors (111869881529400).

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

42033402405000 is a wasteful number, since it uses less digits than its factorization.

42033402405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42033402405000 its reverse (50420433024), we get a palindrome (42083822838024).

The spelling of 42033402405000 in words is "forty-two trillion, thirty-three billion, four hundred two million, four hundred five thousand".