155428022400 has 384 divisors, whose sum is σ = 597536040960. Its totient is φ = 34769817600.

The previous prime is 155428022381. The next prime is 155428022429. The reversal of 155428022400 is 4220824551.

155428022400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133795 + ... + 3183005.

It is an arithmetic number, because the mean of its divisors is an integer number (1556083440).

Almost surely, 2^155428022400 is an apocalyptic number.

155428022400 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 155428022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298768020480).

155428022400 is an abundant number, since it is smaller than the sum of its proper divisors (442108018560).

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

155428022400 is a wasteful number, since it uses less digits than its factorization.

155428022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49292 (or 49275 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 155428022400 its reverse (4220824551), we get a palindrome (159648846951).

The spelling of 155428022400 in words is "one hundred fifty-five billion, four hundred twenty-eight million, twenty-two thousand, four hundred".