1130552421264 has 240 divisors, whose sum is σ = 3735187123200. Its totient is φ = 312379960320.

The previous prime is 1130552421203. The next prime is 1130552421287. The reversal of 1130552421264 is 4621242550311.

1130552421264 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 5 + 524 + 2 + 126 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48391474 + ... + 48414830.

It is an arithmetic number, because the mean of its divisors is an integer number (15563279680).

Almost surely, 2^{1130552421264} is an apocalyptic number.

1130552421264 is a gapful number since it is divisible by the number (14) 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 1130552421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867593561600).

1130552421264 is an abundant number, since it is smaller than the sum of its proper divisors (2604634701936).

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

1130552421264 is a wasteful number, since it uses less digits than its factorization.

1130552421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24958 (or 24949 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 1130552421264 its reverse (4621242550311), we get a palindrome (5751794971575).

The spelling of 1130552421264 in words is "one trillion, one hundred thirty billion, five hundred fifty-two million, four hundred twenty-one thousand, two hundred sixty-four".