1040133745014 has 256 divisors, whose sum is σ = 2776380364800. Its totient is φ = 257240309760.

The previous prime is 1040133744989. The next prime is 1040133745069. The reversal of 1040133745014 is 4105473310401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128709454 + ... + 128717534.

It is an arithmetic number, because the mean of its divisors is an integer number (10845235800).

Almost surely, 2^{1040133745014} is an apocalyptic number.

1040133745014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040133745014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388190182400).

1040133745014 is an abundant number, since it is smaller than the sum of its proper divisors (1736246619786).

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

1040133745014 is a wasteful number, since it uses less digits than its factorization.

1040133745014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 1040133745014 in words is "one trillion, forty billion, one hundred thirty-three million, seven hundred forty-five thousand, fourteen".