401403152544 has 96 divisors (see below), whose sum is σ = 1063391281344. Its totient is φ = 132569149440.

The previous prime is 401403152519. The next prime is 401403152573. The reversal of 401403152544 is 445251304104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401403152544² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42638782 + ... + 42648194.

It is an arithmetic number, because the mean of its divisors is an integer number (11076992514).

Almost surely, 2^401403152544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401403152544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531695640672).

401403152544 is an abundant number, since it is smaller than the sum of its proper divisors (661988128800).

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

401403152544 is a wasteful number, since it uses less digits than its factorization.

401403152544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 401403152544 its reverse (445251304104), we get a palindrome (846654456648).

The spelling of 401403152544 in words is "four hundred one billion, four hundred three million, one hundred fifty-two thousand, five hundred forty-four".