1043264980800 has 1008 divisors, whose sum is σ = 4515196008960. Its totient is φ = 223154196480.

The previous prime is 1043264980787. The next prime is 1043264980837. The reversal of 1043264980800 is 80894623401.

It is a happy number.

1043264980800 is a `hidden beast` number, since 1 + 0 + 432 + 64 + 9 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158958319 + ... + 158964881.

It is an arithmetic number, because the mean of its divisors is an integer number (4479361120).

Almost surely, 2^{1043264980800} is an apocalyptic number.

1043264980800 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 1043264980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257598004480).

1043264980800 is an abundant number, since it is smaller than the sum of its proper divisors (3471931028160).

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

1043264980800 is a wasteful number, since it uses less digits than its factorization.

1043264980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1043264980800 in words is "one trillion, forty-three billion, two hundred sixty-four million, nine hundred eighty thousand, eight hundred".