1288741847040 has 400 divisors, whose sum is σ = 4590246160800. Its totient is φ = 343060512768.

The previous prime is 1288741847021. The next prime is 1288741847089. The reversal of 1288741847040 is 407481478821.

1288741847040 is a `hidden beast` number, since 12 + 8 + 87 + 41 + 8 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264923876 + ... + 2264924444.

It is an arithmetic number, because the mean of its divisors is an integer number (11475615402).

Almost surely, 2^{1288741847040} is an apocalyptic number.

1288741847040 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 1288741847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295123080400).

1288741847040 is an abundant number, since it is smaller than the sum of its proper divisors (3301504313760).

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

1288741847040 is an frugal number, since it uses more digits than its factorization.

1288741847040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 1288741847040 in words is "one trillion, two hundred eighty-eight billion, seven hundred forty-one million, eight hundred forty-seven thousand, forty".