4271744912400 has 2025 divisors, whose sum is σ = 18758535171831. Its totient is φ = 900009169920.

The previous prime is 4271744912333. The next prime is 4271744912467. The reversal of 4271744912400 is 42194471724.

The square root of 4271744912400 is 2066820.

It is a perfect power (a square), and thus also a powerful number.

4271744912400 is a `hidden beast` number, since 4 + 2 + 71 + 74 + 491 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4271744912333) and next prime (4271744912467).

It can be written as a sum of positive squares in 4 ways, for example, as 405519334416 + 3866225577984 = 636804^2 + 1966272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 115452565182 + ... + 115452565218.

Almost surely, 2^{4271744912400} is an apocalyptic number.

4271744912400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4271744912400 is the 2066820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4271744912400

4271744912400 is an abundant number, since it is smaller than the sum of its proper divisors (14486790259431).

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

4271744912400 is a wasteful number, since it uses less digits than its factorization.

4271744912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4271744912400 in words is "four trillion, two hundred seventy-one billion, seven hundred forty-four million, nine hundred twelve thousand, four hundred".