1406169072400 has 135 divisors (see below), whose sum is σ = 3406530811359. Its totient is φ = 557809728000.

The previous prime is 1406169072389. The next prime is 1406169072403. The reversal of 1406169072400 is 42709616041.

The square root of 1406169072400 is 1185820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2000951824 + 1404168120576 = 44732^2 + 1184976^2 .

It is a super-2 number, since 2×1406169072400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1406169072403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5004160260 + ... + 5004160540.

Almost surely, 2^{1406169072400} is an apocalyptic number.

1406169072400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1406169072400 is the 1185820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406169072400

1406169072400 is an abundant number, since it is smaller than the sum of its proper divisors (2000361738959).

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

1406169072400 is an frugal number, since it uses more digits than its factorization.

1406169072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1406169072400 in words is "one trillion, four hundred six billion, one hundred sixty-nine million, seventy-two thousand, four hundred".