42133251504000 has 256 divisors, whose sum is σ = 139713266534400. Its totient is φ = 11232192358400.

The previous prime is 42133251503957. The next prime is 42133251504013. The reversal of 42133251504000 is 40515233124.

42133251504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163407181 + ... + 163664819.

It is an arithmetic number, because the mean of its divisors is an integer number (545754947400).

Almost surely, 2^{42133251504000} is an apocalyptic number.

42133251504000 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 42133251504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69856633267200).

42133251504000 is an abundant number, since it is smaller than the sum of its proper divisors (97580015030400).

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

42133251504000 is a wasteful number, since it uses less digits than its factorization.

42133251504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261078 (or 261056 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 42133251504000 its reverse (40515233124), we get a palindrome (42173766737124).

The spelling of 42133251504000 in words is "forty-two trillion, one hundred thirty-three billion, two hundred fifty-one million, five hundred four thousand".