11430881280 has 1152 divisors, whose sum is σ = 51514444800. Its totient is φ = 2279079936.

The previous prime is 11430881239. The next prime is 11430881291. The reversal of 11430881280 is 8218803411.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243210217 + ... + 243210263.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^11430881280 is an apocalyptic number.

11430881280 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 11430881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25757222400).

11430881280 is an abundant number, since it is smaller than the sum of its proper divisors (40083563520).

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

11430881280 is a wasteful number, since it uses less digits than its factorization.

11430881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

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

It can be divided in two parts, 11430881 and 280, that added together give a square (11431161 = 3381²).

The spelling of 11430881280 in words is "eleven billion, four hundred thirty million, eight hundred eighty-one thousand, two hundred eighty".