401253352104 has 128 divisors (see below), whose sum is σ = 1124263658880. Its totient is φ = 118267776000.

The previous prime is 401253351977. The next prime is 401253352109.

401253352104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401253352104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401253352109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49822542 + ... + 49830594.

It is an arithmetic number, because the mean of its divisors is an integer number (8783309835).

Almost surely, 2^401253352104 is an apocalyptic number.

401253352104 is a gapful number since it is divisible by the number (44) 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 401253352104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562131829440).

401253352104 is an abundant number, since it is smaller than the sum of its proper divisors (723010306776).

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

401253352104 is a wasteful number, since it uses less digits than its factorization.

401253352104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13211 (or 13207 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 401253 and 352104, that added together give a palindrome (753357).

The spelling of 401253352104 in words is "four hundred one billion, two hundred fifty-three million, three hundred fifty-two thousand, one hundred four".