400514020420 has 24 divisors (see below), whose sum is σ = 890554704984. Its totient is φ = 150781748736.

The previous prime is 400514020399. The next prime is 400514020421. The reversal of 400514020420 is 24020415004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99663964416 + 300850056004 = 315696^2 + 548498^2 .

It is a super-2 number, since 2×400514020420² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400514020391 and 400514020400.

It is not an unprimeable number, because it can be changed into a prime (400514020421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 588990867 + ... + 588991546.

It is an arithmetic number, because the mean of its divisors is an integer number (37106446041).

Almost surely, 2^400514020420 is an apocalyptic number.

It is an amenable number.

400514020420 is an abundant number, since it is smaller than the sum of its proper divisors (490040684564).

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

400514020420 is a wasteful number, since it uses less digits than its factorization.

400514020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177982439 (or 1177982437 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 400514020420 its reverse (24020415004), we get a palindrome (424534435424).

The spelling of 400514020420 in words is "four hundred billion, five hundred fourteen million, twenty thousand, four hundred twenty".