2144445521400 has 1536 divisors, whose sum is σ = 10045157068800. Its totient is φ = 407288217600.

The previous prime is 2144445521357. The next prime is 2144445521401. The reversal of 2144445521400 is 41255444412.

2144445521400 is a `hidden beast` number, since 2 + 14 + 44 + 45 + 521 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144445521401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 192131820 + ... + 192142980.

It is an arithmetic number, because the mean of its divisors is an integer number (6539815800).

Almost surely, 2^{2144445521400} is an apocalyptic number.

2144445521400 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 2144445521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022578534400).

2144445521400 is an abundant number, since it is smaller than the sum of its proper divisors (7900711547400).

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

2144445521400 is a wasteful number, since it uses less digits than its factorization.

2144445521400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 2144445521400 in words is "two trillion, one hundred forty-four billion, four hundred forty-five million, five hundred twenty-one thousand, four hundred".