128226614400 has 864 divisors, whose sum is σ = 488594548260. Its totient is φ = 31997952000.

The previous prime is 128226614377. The next prime is 128226614423. The reversal of 128226614400 is 4416622821.

128226614400 is a `hidden beast` number, since 1 + 28 + 226 + 6 + 1 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (128226614377) and next prime (128226614423).

It can be written as a sum of positive squares in 6 ways, for example, as 159971904 + 128066642496 = 12648^2 + 357864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1134748744 + ... + 1134748856.

Almost surely, 2^128226614400 is an apocalyptic number.

128226614400 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 128226614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244297274130).

128226614400 is an abundant number, since it is smaller than the sum of its proper divisors (360367933860).

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

128226614400 is a wasteful number, since it uses less digits than its factorization.

128226614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 128226614400 in words is "one hundred twenty-eight billion, two hundred twenty-six million, six hundred fourteen thousand, four hundred".