441149829120 has 1664 divisors, whose sum is σ = 2108386990080. Its totient is φ = 84509982720.

The previous prime is 441149829103. The next prime is 441149829139. The reversal of 441149829120 is 21928941144.

441149829120 is a `hidden beast` number, since 4 + 4 + 11 + 498 + 29 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×441149829120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 553512562 + ... + 553513358.

Almost surely, 2^441149829120 is an apocalyptic number.

441149829120 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 441149829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054193495040).

441149829120 is an abundant number, since it is smaller than the sum of its proper divisors (1667237160960).

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

441149829120 is a wasteful number, since it uses less digits than its factorization.

441149829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 441149829120 in words is "four hundred forty-one billion, one hundred forty-nine million, eight hundred twenty-nine thousand, one hundred twenty".