10881397440 has 280 divisors, whose sum is σ = 38921783472. Its totient is φ = 2885621760.

The previous prime is 10881397433. The next prime is 10881397459. The reversal of 10881397440 is 4479318801.

It is a happy number.

10881397440 is a `hidden beast` number, since 108 + 8 + 13 + 97 + 440 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 5105175 + ... + 5107305.

Almost surely, 2^10881397440 is an apocalyptic number.

10881397440 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 10881397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19460891736).

10881397440 is an abundant number, since it is smaller than the sum of its proper divisors (28040386032).

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

10881397440 is a wasteful number, since it uses less digits than its factorization.

10881397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 10881 and 397440, that added together give a square (408321 = 639²).

The spelling of 10881397440 in words is "ten billion, eight hundred eighty-one million, three hundred ninety-seven thousand, four hundred forty".