128981223840 has 384 divisors, whose sum is σ = 485905416192. Its totient is φ = 28137922560.

The previous prime is 128981223829. The next prime is 128981223863. The reversal of 128981223840 is 48322189821.

128981223840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128981223840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 128981223840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7595199 + ... + 7612161.

It is an arithmetic number, because the mean of its divisors is an integer number (1265378688).

Almost surely, 2^128981223840 is an apocalyptic number.

128981223840 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 128981223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242952708096).

128981223840 is an abundant number, since it is smaller than the sum of its proper divisors (356924192352).

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

128981223840 is a wasteful number, since it uses less digits than its factorization.

128981223840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17092 (or 17084 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 128981223840 in words is "one hundred twenty-eight billion, nine hundred eighty-one million, two hundred twenty-three thousand, eight hundred forty".