1040164334100 has 108 divisors (see below), whose sum is σ = 3452121917244. Its totient is φ = 261060848640.

The previous prime is 1040164334093. The next prime is 1040164334123. The reversal of 1040164334100 is 14334610401.

1040164334100 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 643 + 3 + 4 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4434760836 + 1035729573264 = 66594^2 + 1017708^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33976999 + ... + 34007598.

Almost surely, 2^{1040164334100} is an apocalyptic number.

1040164334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040164334100 is an abundant number, since it is smaller than the sum of its proper divisors (2411957583144).

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

1040164334100 is a wasteful number, since it uses less digits than its factorization.

1040164334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67984634 (or 67984624 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1040164334100 its reverse (14334610401), we get a palindrome (1054498944501).

The spelling of 1040164334100 in words is "one trillion, forty billion, one hundred sixty-four million, three hundred thirty-four thousand, one hundred".