401125441440 has 48 divisors (see below), whose sum is σ = 1263545142048. Its totient is φ = 106966784256.

The previous prime is 401125441333. The next prime is 401125441447. The reversal of 401125441440 is 44144521104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401125441398 and 401125441407.

It is not an unprimeable number, because it can be changed into a prime (401125441447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417838522 + ... + 417839481.

It is an arithmetic number, because the mean of its divisors is an integer number (26323857126).

Almost surely, 2^401125441440 is an apocalyptic number.

401125441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401125441440 is an abundant number, since it is smaller than the sum of its proper divisors (862419700608).

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

401125441440 is a wasteful number, since it uses less digits than its factorization.

401125441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835678021 (or 835678013 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 401125441440 its reverse (44144521104), we get a palindrome (445269962544).

The spelling of 401125441440 in words is "four hundred one billion, one hundred twenty-five million, four hundred forty-one thousand, four hundred forty".