1406387271744 has 945 divisors, whose sum is σ = 5280538129911. Its totient is φ = 368866068480.

The previous prime is 1406387271733. The next prime is 1406387271781. The reversal of 1406387271744 is 4471727836041.

It is a happy number.

The square root of 1406387271744 is 1185912.

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

1406387271744 is a `hidden beast` number, since 1 + 406 + 38 + 72 + 71 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1083181377600 + 323205894144 = 1040760^2 + 568512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 134 ways as a sum of consecutive naturals, for example, 7770095334 + ... + 7770095514.

Almost surely, 2^{1406387271744} is an apocalyptic number.

1406387271744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1406387271744 is the 1185912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406387271744

1406387271744 is an abundant number, since it is smaller than the sum of its proper divisors (3874150858167).

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

1406387271744 is an equidigital number, since it uses as much as digits as its factorization.

1406387271744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 1406387271744 in words is "one trillion, four hundred six billion, three hundred eighty-seven million, two hundred seventy-one thousand, seven hundred forty-four".