400352103125 has 48 divisors (see below), whose sum is σ = 542842162128. Its totient is φ = 293482560000.

The previous prime is 400352103113. The next prime is 400352103133. The reversal of 400352103125 is 521301253004.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 170712754276 + 229639348849 = 413174^2 + 479207^2 .

It is not a de Polignac number, because 400352103125 - 2¹² = 400352099029 is a prime.

It is a super-2 number, since 2×400352103125² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400352103094 and 400352103103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5529659 + ... + 5601591.

It is an arithmetic number, because the mean of its divisors is an integer number (11309211711).

Almost surely, 2^400352103125 is an apocalyptic number.

It is an amenable number.

400352103125 is a deficient number, since it is larger than the sum of its proper divisors (142490059003).

400352103125 is an equidigital number, since it uses as much as digits as its factorization.

400352103125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72108 (or 72088 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 400352103125 its reverse (521301253004), we get a palindrome (921653356129).

The spelling of 400352103125 in words is "four hundred billion, three hundred fifty-two million, one hundred three thousand, one hundred twenty-five".