960398040001 has 15 divisors (see below), whose sum is σ = 1020723208293. Its totient is φ = 903637477920.

The previous prime is 960398039969. The next prime is 960398040139. The reversal of 960398040001 is 100040893069.

The square root of 960398040001 is 979999.

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

It can be written as a sum of positive squares in 2 ways, for example, as 298062494401 + 662335545600 = 545951^2 + 813840^2 .

It is not a de Polignac number, because 960398040001 - 2⁵ = 960398039969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (960398070001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 283218016 + ... + 283221406.

Almost surely, 2^960398040001 is an apocalyptic number.

960398040001 is the 979999-th square number.

960398040001 is the 490000-th centered octagonal number.

It is an amenable number.

960398040001 is a deficient number, since it is larger than the sum of its proper divisors (60325168292).

960398040001 is an frugal number, since it uses more digits than its factorization.

960398040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

It can be divided in two parts, 9603 and 98040001, that added together give a square (98049604 = 9902²).

The spelling of 960398040001 in words is "nine hundred sixty billion, three hundred ninety-eight million, forty thousand, one".