1123769792640 has 512 divisors, whose sum is σ = 4118820710400. Its totient is φ = 257745715200.

The previous prime is 1123769792603. The next prime is 1123769792641. The reversal of 1123769792640 is 462979673211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1123769792641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414520885 + ... + 414523595.

It is an arithmetic number, because the mean of its divisors is an integer number (8044571700).

Almost surely, 2^{1123769792640} is an apocalyptic number.

1123769792640 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 1123769792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059410355200).

1123769792640 is an abundant number, since it is smaller than the sum of its proper divisors (2995050917760).

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

1123769792640 is a wasteful number, since it uses less digits than its factorization.

1123769792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 1123769792640 in words is "one trillion, one hundred twenty-three billion, seven hundred sixty-nine million, seven hundred ninety-two thousand, six hundred forty".