1088671933440 has 1980 divisors, whose sum is σ = 4929552869076. Its totient is φ = 228973215744.

The previous prime is 1088671933439. The next prime is 1088671933499. The reversal of 1088671933440 is 443391768801.

1088671933440 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 6 + 7 + 193 + 3 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 489373000704 + 599298932736 = 699552^2 + 774144^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3434296162 + ... + 3434296478.

Almost surely, 2^{1088671933440} is an apocalyptic number.

1088671933440 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 1088671933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464776434538).

1088671933440 is an abundant number, since it is smaller than the sum of its proper divisors (3840880935636).

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

1088671933440 is a wasteful number, since it uses less digits than its factorization.

1088671933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1088671933440 in words is "one trillion, eighty-eight billion, six hundred seventy-one million, nine hundred thirty-three thousand, four hundred forty".