1405438702144 has 189 divisors, whose sum is σ = 3105224827257. Its totient is φ = 630957938688.

The previous prime is 1405438702049. The next prime is 1405438702147. The reversal of 1405438702144 is 4412078345041.

The square root of 1405438702144 is 1185512.

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., 1094199681600 + 311239020544 = 1046040^2 + 557888^2 .

It is a super-2 number, since 2×1405438702144² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1405438702144.

It is not an unprimeable number, because it can be changed into a prime (1405438702147) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3708281347 + ... + 3708281725.

Almost surely, 2^{1405438702144} is an apocalyptic number.

1405438702144 is the 1185512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405438702144

1405438702144 is an abundant number, since it is smaller than the sum of its proper divisors (1699786125113).

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

1405438702144 is an frugal number, since it uses more digits than its factorization.

1405438702144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 1405438702144 in words is "one trillion, four hundred five billion, four hundred thirty-eight million, seven hundred two thousand, one hundred forty-four".