1123754024640 has 448 divisors, whose sum is σ = 4074352942464. Its totient is φ = 259963748352.

The previous prime is 1123754024629. The next prime is 1123754024641. The reversal of 1123754024640 is 464204573211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1123754024641) 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 63 ways as a sum of consecutive naturals, for example, 160601622 + ... + 160608618.

It is an arithmetic number, because the mean of its divisors is an integer number (9094537818).

Almost surely, 2^{1123754024640} is an apocalyptic number.

1123754024640 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 1123754024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037176471232).

1123754024640 is an abundant number, since it is smaller than the sum of its proper divisors (2950598917824).

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

1123754024640 is a wasteful number, since it uses less digits than its factorization.

1123754024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 1123754024640 its reverse (464204573211), we get a palindrome (1587958597851).

The spelling of 1123754024640 in words is "one trillion, one hundred twenty-three billion, seven hundred fifty-four million, twenty-four thousand, six hundred forty".