1134956294640 has 640 divisors, whose sum is σ = 4570207488000. Its totient is φ = 258777953280.

The previous prime is 1134956294531. The next prime is 1134956294651. The reversal of 1134956294640 is 464926594311.

1134956294640 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 9 + 5 + 629 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 341544019 + ... + 341547341.

It is an arithmetic number, because the mean of its divisors is an integer number (7140949200).

Almost surely, 2^{1134956294640} is an apocalyptic number.

1134956294640 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 1134956294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285103744000).

1134956294640 is an abundant number, since it is smaller than the sum of its proper divisors (3435251193360).

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

1134956294640 is a wasteful number, since it uses less digits than its factorization.

1134956294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1134956294640 in words is "one trillion, one hundred thirty-four billion, nine hundred fifty-six million, two hundred ninety-four thousand, six hundred forty".