10401405464641 has 9 divisors (see below), whose sum is σ = 11049302109481. Its totient is φ = 9789506482432.

The previous prime is 10401405464629. The next prime is 10401405464677. The reversal of 10401405464641 is 14646450410401.

The square root of 10401405464641 is 3225121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23987504641 + 10377417960000 = 154879^2 + 3221400^2 .

It is not a de Polignac number, because 10401405464641 - 2²⁷ = 10401271246913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10401405464594 and 10401405464603.

It is not an unprimeable number, because it can be changed into a prime (10401405461641) 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 8 ways as a sum of consecutive naturals, for example, 54732201 + ... + 54921913.

Almost surely, 2^{10401405464641} is an apocalyptic number.

10401405464641 is the 3225121-st square number.

10401405464641 is the 1612561-st centered octagonal number.

It is an amenable number.

10401405464641 is a deficient number, since it is larger than the sum of its proper divisors (647896644840).

10401405464641 is an frugal number, since it uses more digits than its factorization.

10401405464641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379460 (or 189730 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 10401405464641 in words is "ten trillion, four hundred one billion, four hundred five million, four hundred sixty-four thousand, six hundred forty-one".