1134051522240 has 448 divisors, whose sum is σ = 4487646965760. Its totient is φ = 236242206720.

The previous prime is 1134051522211. The next prime is 1134051522251. The reversal of 1134051522240 is 422251504311.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1134051522240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1134051522198 and 1134051522207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6819280 + ... + 6983600.

It is an arithmetic number, because the mean of its divisors is an integer number (10017069120).

Almost surely, 2^{1134051522240} is an apocalyptic number.

1134051522240 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 1134051522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243823482880).

1134051522240 is an abundant number, since it is smaller than the sum of its proper divisors (3353595443520).

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

1134051522240 is a wasteful number, since it uses less digits than its factorization.

1134051522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164440 (or 164430 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1134051522240 in words is "one trillion, one hundred thirty-four billion, fifty-one million, five hundred twenty-two thousand, two hundred forty".