1135340125040 has 160 divisors (see below), whose sum is σ = 2905213554432. Its totient is φ = 412597996800.

The previous prime is 1135340125027. The next prime is 1135340125043. The reversal of 1135340125040 is 405210435311.

It is a junction number, because it is equal to n+sod(n) for n = 1135340124994 and 1135340125012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135340125043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336794555 + ... + 336797925.

Almost surely, 2^{1135340125040} is an apocalyptic number.

1135340125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135340125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452606777216).

1135340125040 is an abundant number, since it is smaller than the sum of its proper divisors (1769873429392).

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

1135340125040 is a wasteful number, since it uses less digits than its factorization.

1135340125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 1135340125040 in words is "one trillion, one hundred thirty-five billion, three hundred forty million, one hundred twenty-five thousand, forty".