42049575321600 has 1872 divisors, whose sum is σ = 182140970374656. Its totient is φ = 8455716864000.

The previous prime is 42049575321587. The next prime is 42049575321619. The reversal of 42049575321600 is 612357594024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42049575321600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356437913585 + ... + 1356437913615.

Almost surely, 2^{42049575321600} is an apocalyptic number.

42049575321600 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 42049575321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91070485187328).

42049575321600 is an abundant number, since it is smaller than the sum of its proper divisors (140091395053056).

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

42049575321600 is an frugal number, since it uses more digits than its factorization.

42049575321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 42049575321600 in words is "forty-two trillion, forty-nine billion, five hundred seventy-five million, three hundred twenty-one thousand, six hundred".