1288235404800 has 1200 divisors, whose sum is σ = 4973105808000. Its totient is φ = 328989081600.

The previous prime is 1288235404787. The next prime is 1288235404817. The reversal of 1288235404800 is 84045328821.

1288235404800 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 23 + 540 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4788979066 + ... + 4788979334.

It is an arithmetic number, because the mean of its divisors is an integer number (4144254840).

Almost surely, 2^{1288235404800} is an apocalyptic number.

1288235404800 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 1288235404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486552904000).

1288235404800 is an abundant number, since it is smaller than the sum of its proper divisors (3684870403200).

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

1288235404800 is a wasteful number, since it uses less digits than its factorization.

1288235404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1288235404800 in words is "one trillion, two hundred eighty-eight billion, two hundred thirty-five million, four hundred four thousand, eight hundred".