1126742400 has 768 divisors, whose sum is σ = 4978252800. Its totient is φ = 246343680.

The previous prime is 1126742359. The next prime is 1126742401. The reversal of 1126742400 is 42476211.

1126742400 = 100³ + 101³ + ... + 260³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48988789 + ... + 48988811.

It is an arithmetic number, because the mean of its divisors is an integer number (6482100).

It is a vampire number, since it can be written as 27216 ⋅ 41400 (with its own digits).

Almost surely, 2^1126742400 is an apocalyptic number.

1126742400 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 1126742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489126400).

1126742400 is an abundant number, since it is smaller than the sum of its proper divisors (3851510400).

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

1126742400 is an frugal number, since it uses more digits than its factorization.

1126742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1126742400 is about 33566.9837787073. The cubic root of 1126742400 is about 1040.5785735314.

The spelling of 1126742400 in words is "one billion, one hundred twenty-six million, seven hundred forty-two thousand, four hundred".