10673411001040 has 80 divisors (see below), whose sum is σ = 24903740875536. Its totient is φ = 4254236672000.

The previous prime is 10673411000981. The next prime is 10673411001053. The reversal of 10673411001040 is 4010011437601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1544770580544 + 9128640420496 = 1242888^2 + 3021364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10673411001040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30397680 + ... + 30746800.

Almost surely, 2^{10673411001040} is an apocalyptic number.

10673411001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673411001040 is an abundant number, since it is smaller than the sum of its proper divisors (14230329874496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10673411001040 is a wasteful number, since it uses less digits than its factorization.

10673411001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350488 (or 350482 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 10673411001040 its reverse (4010011437601), we get a palindrome (14683422438641).

The spelling of 10673411001040 in words is "ten trillion, six hundred seventy-three billion, four hundred eleven million, one thousand, forty".