400553540001 has 12 divisors (see below), whose sum is σ = 578814781012. Its totient is φ = 266926103136.

The previous prime is 400553539943. The next prime is 400553540011. The reversal of 400553540001 is 100045355004.

It can be written as a sum of positive squares in 2 ways, for example, as 352996398225 + 47557141776 = 594135^2 + 218076^2 .

It is not a de Polignac number, because 400553540001 - 2⁶ = 400553539937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400553540011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9109366 + ... + 9153231.

Almost surely, 2^400553540001 is an apocalyptic number.

It is an amenable number.

400553540001 is a deficient number, since it is larger than the sum of its proper divisors (178261241011).

400553540001 is a wasteful number, since it uses less digits than its factorization.

400553540001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265040 (or 18265037 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 400553540001 its reverse (100045355004), we get a palindrome (500598895005).

The spelling of 400553540001 in words is "four hundred billion, five hundred fifty-three million, five hundred forty thousand, one".