2155144838400 has 324 divisors, whose sum is σ = 7990510123232. Its totient is φ = 574704875520.

The previous prime is 2155144838393. The next prime is 2155144838459. The reversal of 2155144838400 is 48384415512.

2155144838400 is a `hidden beast` number, since 2 + 15 + 514 + 4 + 83 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×2155144838400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 862317 + ... + 2248083.

Almost surely, 2^{2155144838400} is an apocalyptic number.

2155144838400 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 2155144838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995255061616).

2155144838400 is an abundant number, since it is smaller than the sum of its proper divisors (5835365284832).

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

2155144838400 is an equidigital number, since it uses as much as digits as its factorization.

2155144838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385808 (or 1385777 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2155144838400 in words is "two trillion, one hundred fifty-five billion, one hundred forty-four million, eight hundred thirty-eight thousand, four hundred".