401540045104 has 80 divisors (see below), whose sum is σ = 855760942080. Its totient is φ = 181003680000.

The previous prime is 401540045063. The next prime is 401540045129.

401540045104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401540045104² (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 15 ways as a sum of consecutive naturals, for example, 40550554 + ... + 40560454.

It is an arithmetic number, because the mean of its divisors is an integer number (10697011776).

Almost surely, 2^401540045104 is an apocalyptic number.

401540045104 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 401540045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427880471040).

401540045104 is an abundant number, since it is smaller than the sum of its proper divisors (454220896976).

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

401540045104 is a wasteful number, since it uses less digits than its factorization.

401540045104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11810 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 401540045104 in words is "four hundred one billion, five hundred forty million, forty-five thousand, one hundred four".