401433214234420 has 48 divisors (see below), whose sum is σ = 865807848713808. Its totient is φ = 156230931548160.

The previous prime is 401433214234379. The next prime is 401433214234433. The reversal of 401433214234420 is 24432412334104.

It can be written as a sum of positive squares in 8 ways, for example, as 75693236434596 + 325739977799824 = 8700186^2 + 18048268^2 .

It is a super-2 number, since 2×401433214234420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 401433214234420.

It is a congruent number.

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, 41548140 + ... + 50290300.

It is an arithmetic number, because the mean of its divisors is an integer number (18037663514871).

Almost surely, 2^{401433214234420} is an apocalyptic number.

It is an amenable number.

401433214234420 is an abundant number, since it is smaller than the sum of its proper divisors (464374634479388).

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

401433214234420 is a wasteful number, since it uses less digits than its factorization.

401433214234420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804260 (or 8804258 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 401433214234420 its reverse (24432412334104), we get a palindrome (425865626568524).

The spelling of 401433214234420 in words is "four hundred one trillion, four hundred thirty-three billion, two hundred fourteen million, two hundred thirty-four thousand, four hundred twenty".