1128670459200 has 420 divisors, whose sum is σ = 4165897809920. Its totient is φ = 300970391040.

The previous prime is 1128670459199. The next prime is 1128670459223. The reversal of 1128670459200 is 29540768211.

1128670459200 is a `hidden beast` number, since 1 + 128 + 6 + 70 + 459 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31474881 + ... + 31510719.

Almost surely, 2^{1128670459200} is an apocalyptic number.

1128670459200 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 1128670459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082948904960).

1128670459200 is an abundant number, since it is smaller than the sum of its proper divisors (3037227350720).

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

1128670459200 is an frugal number, since it uses more digits than its factorization.

1128670459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35888 (or 35849 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1128670459200 in words is "one trillion, one hundred twenty-eight billion, six hundred seventy million, four hundred fifty-nine thousand, two hundred".