401305055034 has 128 divisors (see below), whose sum is σ = 956651270400. Its totient is φ = 111093534720.

The previous prime is 401305055003. The next prime is 401305055071. The reversal of 401305055034 is 430550503104.

It is a super-2 number, since 2×401305055034² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401305054992 and 401305055010.

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, 2545122 + ... + 2698194.

It is an arithmetic number, because the mean of its divisors is an integer number (7473838050).

Almost surely, 2^401305055034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401305055034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478325635200).

401305055034 is an abundant number, since it is smaller than the sum of its proper divisors (555346215366).

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

401305055034 is a wasteful number, since it uses less digits than its factorization.

401305055034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153200.

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 401305055034 its reverse (430550503104), we get a palindrome (831855558138).

The spelling of 401305055034 in words is "four hundred one billion, three hundred five million, fifty-five thousand, thirty-four".