1129115557440 has 1008 divisors, whose sum is σ = 4453412286960. Its totient is φ = 270888468480.

The previous prime is 1129115557433. The next prime is 1129115557463. The reversal of 1129115557440 is 447555119211.

1129115557440 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 1 + 155 + 57 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 410716920384 + 718398637056 = 640872^2 + 847584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1119043656 + ... + 1119044664.

It is an arithmetic number, because the mean of its divisors is an integer number (4418067745).

Almost surely, 2^{1129115557440} is an apocalyptic number.

1129115557440 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 1129115557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226706143480).

1129115557440 is an abundant number, since it is smaller than the sum of its proper divisors (3324296729520).

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

1129115557440 is an equidigital number, since it uses as much as digits as its factorization.

1129115557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 1129115557440 in words is "one trillion, one hundred twenty-nine billion, one hundred fifteen million, five hundred fifty-seven thousand, four hundred forty".