441402346420640 has 192 divisors, whose sum is σ = 1159112427604992. Its totient is φ = 157476865228800.

The previous prime is 441402346420639. The next prime is 441402346420657. The reversal of 441402346420640 is 46024643204144.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 441402346420591 and 441402346420600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5990684600 + ... + 5990758280.

It is an arithmetic number, because the mean of its divisors is an integer number (6037043893776).

Almost surely, 2^{441402346420640} is an apocalyptic number.

441402346420640 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 441402346420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579556213802496).

441402346420640 is an abundant number, since it is smaller than the sum of its proper divisors (717710081184352).

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

441402346420640 is a wasteful number, since it uses less digits than its factorization.

441402346420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137983 (or 137975 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

Adding to 441402346420640 its reverse (46024643204144), we get a palindrome (487426989624784).

The spelling of 441402346420640 in words is "four hundred forty-one trillion, four hundred two billion, three hundred forty-six million, four hundred twenty thousand, six hundred forty".