42050494012800 has 3456 divisors, whose sum is σ = 182888428677120. Its totient is φ = 8453652480000.

The previous prime is 42050494012799. The next prime is 42050494012801. The reversal of 42050494012800 is 821049405024.

It is an interprime number because it is at equal distance from previous prime (42050494012799) and next prime (42050494012801).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42050494012801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 278480092725 + ... + 278480092875.

It is an arithmetic number, because the mean of its divisors is an integer number (52919105520).

Almost surely, 2^{42050494012800} is an apocalyptic number.

42050494012800 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 42050494012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91444214338560).

42050494012800 is an abundant number, since it is smaller than the sum of its proper divisors (140837934664320).

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

42050494012800 is a wasteful number, since it uses less digits than its factorization.

42050494012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 42050494012800 in words is "forty-two trillion, fifty billion, four hundred ninety-four million, twelve thousand, eight hundred".