2143608278400 has 384 divisors, whose sum is σ = 7852890240000. Its totient is φ = 571054786560.

The previous prime is 2143608278377. The next prime is 2143608278401. The reversal of 2143608278400 is 48728063412.

It is a happy number.

2143608278400 is a `hidden beast` number, since 2 + 1 + 43 + 60 + 82 + 78 + 400 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143608278401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89757661 + ... + 89781539.

It is an arithmetic number, because the mean of its divisors is an integer number (20450235000).

Almost surely, 2^{2143608278400} is an apocalyptic number.

2143608278400 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 2143608278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926445120000).

2143608278400 is an abundant number, since it is smaller than the sum of its proper divisors (5709281961600).

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

2143608278400 is a wasteful number, since it uses less digits than its factorization.

2143608278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24951 (or 24928 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2143608278400 in words is "two trillion, one hundred forty-three billion, six hundred eight million, two hundred seventy-eight thousand, four hundred".