1134401313040 has 20 divisors (see below), whose sum is σ = 2637483053004. Its totient is φ = 453760525184.

The previous prime is 1134401313029. The next prime is 1134401313061. The reversal of 1134401313040 is 403131044311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145752914176 + 988648398864 = 381776^2 + 994308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1134401312996 and 1134401313014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7090008127 + ... + 7090008286.

Almost surely, 2^{1134401313040} is an apocalyptic number.

1134401313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134401313040 is an abundant number, since it is smaller than the sum of its proper divisors (1503081739964).

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

1134401313040 is a wasteful number, since it uses less digits than its factorization.

1134401313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180016426 (or 14180016420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1134401313040 its reverse (403131044311), we get a palindrome (1537532357351).

It can be divided in two parts, 1134401 and 313040, that added together give a palindrome (1447441).

The spelling of 1134401313040 in words is "one trillion, one hundred thirty-four billion, four hundred one million, three hundred thirteen thousand, forty".