401433513152 has 28 divisors (see below), whose sum is σ = 910393861200. Its totient is φ = 172042934016.

The previous prime is 401433513149. The next prime is 401433513223. The reversal of 401433513152 is 251315334104.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×401433513152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 448028027 + ... + 448028922.

Almost surely, 2^401433513152 is an apocalyptic number.

It is an amenable number.

401433513152 is an abundant number, since it is smaller than the sum of its proper divisors (508960348048).

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

401433513152 is an equidigital number, since it uses as much as digits as its factorization.

401433513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896056968 (or 896056958 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 401433513152 its reverse (251315334104), we get a palindrome (652748847256).

The spelling of 401433513152 in words is "four hundred one billion, four hundred thirty-three million, five hundred thirteen thousand, one hundred fifty-two".