400537905601 has 2 divisors, whose sum is σ = 400537905602. Its totient is φ = 400537905600.

The previous prime is 400537905577. The next prime is 400537905611. The reversal of 400537905601 is 106509735004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 299073359376 + 101464546225 = 546876^2 + 318535^2 .

It is a cyclic number.

It is not a de Polignac number, because 400537905601 - 2¹¹ = 400537903553 is a prime.

It is a super-2 number, since 2×400537905601² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400537905611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200268952800 + 200268952801.

It is an arithmetic number, because the mean of its divisors is an integer number (200268952801).

Almost surely, 2^400537905601 is an apocalyptic number.

It is an amenable number.

400537905601 is a deficient number, since it is larger than the sum of its proper divisors (1).

400537905601 is an equidigital number, since it uses as much as digits as its factorization.

400537905601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 400537905601 in words is "four hundred billion, five hundred thirty-seven million, nine hundred five thousand, six hundred one".