437943986049020 has 768 divisors, whose sum is σ = 1122481048485888. Its totient is φ = 141668352000000.

The previous prime is 437943986048941. The next prime is 437943986049029. The reversal of 437943986049020 is 20940689349734.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437943986049029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 597467920574 + ... + 597467921306.

It is an arithmetic number, because the mean of its divisors is an integer number (1461563865216).

Almost surely, 2^{437943986049020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 437943986049020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561240524242944).

437943986049020 is an abundant number, since it is smaller than the sum of its proper divisors (684537062436868).

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

437943986049020 is a wasteful number, since it uses less digits than its factorization.

437943986049020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 68.

The spelling of 437943986049020 in words is "four hundred thirty-seven trillion, nine hundred forty-three billion, nine hundred eighty-six million, forty-nine thousand, twenty".