441020362000 has 240 divisors, whose sum is σ = 1141582291200. Its totient is φ = 164331072000.

The previous prime is 441020361973. The next prime is 441020362037. The reversal of 441020362000 is 263020144.

It is a happy number.

It is a super-2 number, since 2×441020362000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141396441 + ... + 141399559.

It is an arithmetic number, because the mean of its divisors is an integer number (4756592880).

Almost surely, 2^441020362000 is an apocalyptic number.

441020362000 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 441020362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570791145600).

441020362000 is an abundant number, since it is smaller than the sum of its proper divisors (700561929200).

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

441020362000 is a wasteful number, since it uses less digits than its factorization.

441020362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 441020362000 its reverse (263020144), we get a palindrome (441283382144).

The spelling of 441020362000 in words is "four hundred forty-one billion, twenty million, three hundred sixty-two thousand".