1354314011040 has 144 divisors (see below), whose sum is σ = 4673525056200. Its totient is φ = 357092499456.

The previous prime is 1354314011027. The next prime is 1354314011047. The reversal of 1354314011040 is 401104134531.

1354314011040 is a `hidden beast` number, since 1 + 3 + 543 + 1 + 4 + 0 + 110 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 821945318544 + 532368692496 = 906612^2 + 729636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1354314010995 and 1354314011013.

It is not an unprimeable number, because it can be changed into a prime (1354314011047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5155525 + ... + 5411844.

Almost surely, 2^{1354314011040} is an apocalyptic number.

1354314011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354314011040 is an abundant number, since it is smaller than the sum of its proper divisors (3319211045160).

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

1354314011040 is a wasteful number, since it uses less digits than its factorization.

1354314011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567479 (or 10567468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1354314011040 its reverse (401104134531), we get a palindrome (1755418145571).

The spelling of 1354314011040 in words is "one trillion, three hundred fifty-four billion, three hundred fourteen million, eleven thousand, forty".