441401102102034 has 128 divisors (see below), whose sum is σ = 1007409182088960. Its totient is φ = 143174915020800.

The previous prime is 441401102101997. The next prime is 441401102102057. The reversal of 441401102102034 is 430201201104144.

441401102102034 is a `hidden beast` number, since 4 + 4 + 1 + 401 + 10 + 210 + 2 + 0 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 441401102101989 and 441401102102007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1756645734 + ... + 1756896990.

It is an arithmetic number, because the mean of its divisors is an integer number (7870384235070).

Almost surely, 2^{441401102102034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441401102102034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503704591044480).

441401102102034 is an abundant number, since it is smaller than the sum of its proper divisors (566008079986926).

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

441401102102034 is a wasteful number, since it uses less digits than its factorization.

441401102102034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253353 (or 253347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 441401102102034 its reverse (430201201104144), we get a palindrome (871602303206178).

The spelling of 441401102102034 in words is "four hundred forty-one trillion, four hundred one billion, one hundred two million, one hundred two thousand, thirty-four".