2143249177440 has 768 divisors, whose sum is σ = 8082509266944. Its totient is φ = 467118489600.

The previous prime is 2143249177427. The next prime is 2143249177451. The reversal of 2143249177440 is 447719423412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2143249177440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2483486449 + ... + 2483487311.

It is an arithmetic number, because the mean of its divisors is an integer number (10524100608).

Almost surely, 2^{2143249177440} is an apocalyptic number.

2143249177440 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 2143249177440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041254633472).

2143249177440 is an abundant number, since it is smaller than the sum of its proper divisors (5939260089504).

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

2143249177440 is a wasteful number, since it uses less digits than its factorization.

2143249177440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 2143249177440 in words is "two trillion, one hundred forty-three billion, two hundred forty-nine million, one hundred seventy-seven thousand, four hundred forty".