21128892301440 has 2688 divisors, whose sum is σ = 96111563304960. Its totient is φ = 4345502515200.

The previous prime is 21128892301373. The next prime is 21128892301481. The reversal of 21128892301440 is 4410329882112.

21128892301440 is a `hidden beast` number, since 2 + 1 + 12 + 88 + 92 + 30 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 50187392430 + ... + 50187392850.

It is an arithmetic number, because the mean of its divisors is an integer number (35755789920).

Almost surely, 2^{21128892301440} is an apocalyptic number.

21128892301440 is a gapful number since it is divisible by the number (20) 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 21128892301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48055781652480).

21128892301440 is an abundant number, since it is smaller than the sum of its proper divisors (74982671003520).

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

21128892301440 is a wasteful number, since it uses less digits than its factorization.

21128892301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 21128892301440 in words is "twenty-one trillion, one hundred twenty-eight billion, eight hundred ninety-two million, three hundred one thousand, four hundred forty".