1141164435510 has 96 divisors (see below), whose sum is σ = 3238116624288. Its totient is φ = 276529743360.

The previous prime is 1141164435497. The next prime is 1141164435511. The reversal of 1141164435510 is 155344611411.

1141164435510 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 64 + 43 + 551 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141164435511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2128224 + ... + 2609916.

It is an arithmetic number, because the mean of its divisors is an integer number (33730381503).

Almost surely, 2^{1141164435510} is an apocalyptic number.

1141164435510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141164435510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619058312144).

1141164435510 is an abundant number, since it is smaller than the sum of its proper divisors (2096952188778).

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

1141164435510 is a wasteful number, since it uses less digits than its factorization.

1141164435510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484110 (or 484107 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1141164435510 in words is "one trillion, one hundred forty-one billion, one hundred sixty-four million, four hundred thirty-five thousand, five hundred ten".