1408214169124 has 45 divisors (see below), whose sum is σ = 2875170303537. Its totient is φ = 603470517552.

The previous prime is 1408214169097. The next prime is 1408214169127. The reversal of 1408214169124 is 4219614128041.

The square root of 1408214169124 is 1186682.

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

It can be written as a sum of positive squares in only one way, i.e., 1404030666724 + 4183502400 = 1184918^2 + 64680^2 .

It is a super-2 number, since 2×1408214169124² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1408214169127) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 116288782 + ... + 116300890.

Almost surely, 2^{1408214169124} is an apocalyptic number.

1408214169124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1408214169124 is the 1186682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408214169124

1408214169124 is an abundant number, since it is smaller than the sum of its proper divisors (1466956134413).

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

1408214169124 is an frugal number, since it uses more digits than its factorization.

1408214169124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24250 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 1408214169124 in words is "one trillion, four hundred eight billion, two hundred fourteen million, one hundred sixty-nine thousand, one hundred twenty-four".