1141609758432 has 864 divisors, whose sum is σ = 3799781314560. Its totient is φ = 298896998400.

The previous prime is 1141609758379. The next prime is 1141609758461. The reversal of 1141609758432 is 2348579061411.

It is a congruent number.

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, 4736969832 + ... + 4736970072.

It is an arithmetic number, because the mean of its divisors is an integer number (4397895040).

It is a 1-persistent number, because it is pandigital, but 2⋅1141609758432 = 2283219516864 is not.

Almost surely, 2^{1141609758432} is an apocalyptic number.

1141609758432 is a gapful number since it is divisible by the number (12) 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 1141609758432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899890657280).

1141609758432 is an abundant number, since it is smaller than the sum of its proper divisors (2658171556128).

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

1141609758432 is a wasteful number, since it uses less digits than its factorization.

1141609758432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 1141609758432 in words is "one trillion, one hundred forty-one billion, six hundred nine million, seven hundred fifty-eight thousand, four hundred thirty-two".