1149409735320 has 256 divisors, whose sum is σ = 4357985172480. Its totient is φ = 235566489600.

The previous prime is 1149409735319. The next prime is 1149409735333. The reversal of 1149409735320 is 235379049411.

It is a super-2 number, since 2×1149409735320² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1149409735320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177501 + ... + 1526540.

It is an arithmetic number, because the mean of its divisors is an integer number (17023379580).

Almost surely, 2^{1149409735320} is an apocalyptic number.

1149409735320 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 1149409735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178992586240).

1149409735320 is an abundant number, since it is smaller than the sum of its proper divisors (3208575437160).

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

1149409735320 is a wasteful number, since it uses less digits than its factorization.

1149409735320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704146 (or 1704142 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 1149409735320 in words is "one trillion, one hundred forty-nine billion, four hundred nine million, seven hundred thirty-five thousand, three hundred twenty".