881318102400 has 480 divisors, whose sum is σ = 3255789979200. Its totient is φ = 234763038720.

The previous prime is 881318102369. The next prime is 881318102407. The reversal of 881318102400 is 4201813188.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881318102407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 455931834 + ... + 455933766.

It is an arithmetic number, because the mean of its divisors is an integer number (6782895790).

Almost surely, 2^881318102400 is an apocalyptic number.

881318102400 is a gapful number since it is divisible by the number (80) 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 881318102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627894989600).

881318102400 is an abundant number, since it is smaller than the sum of its proper divisors (2374471876800).

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

881318102400 is a wasteful number, since it uses less digits than its factorization.

881318102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 881318102400 its reverse (4201813188), we get a palindrome (885519915588).

The spelling of 881318102400 in words is "eight hundred eighty-one billion, three hundred eighteen million, one hundred two thousand, four hundred".