13401721641 has 64 divisors (see below), whose sum is σ = 23009366016. Its totient is φ = 6735571200.

The previous prime is 13401721637. The next prime is 13401721643. The reversal of 13401721641 is 14612710431.

13401721641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13401721641 - 2² = 13401721637 is a prime.

It is a super-2 number, since 2×13401721641² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13401721599 and 13401721608.

It is not an unprimeable number, because it can be changed into a prime (13401721643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542676 + ... + 1551338.

It is an arithmetic number, because the mean of its divisors is an integer number (359521344).

Almost surely, 2^13401721641 is an apocalyptic number.

13401721641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13401721641 is a deficient number, since it is larger than the sum of its proper divisors (9607644375).

13401721641 is a wasteful number, since it uses less digits than its factorization.

13401721641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 13401721641 in words is "thirteen billion, four hundred one million, seven hundred twenty-one thousand, six hundred forty-one".