1409961506724 has 81 divisors (see below), whose sum is σ = 3614894455809. Its totient is φ = 463378000320.

The previous prime is 1409961506687. The next prime is 1409961506753. The reversal of 1409961506724 is 4276051699041.

The square root of 1409961506724 is 1187418.

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

1409961506724 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 9 + 61 + 506 + 72 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 800362836900 + 609598669824 = 894630^2 + 780768^2 .

It is a super-3 number, since 3×1409961506724³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 520087729 + ... + 520090439.

Almost surely, 2^{1409961506724} is an apocalyptic number.

1409961506724 is the 1187418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409961506724

1409961506724 is an abundant number, since it is smaller than the sum of its proper divisors (2204932949085).

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

1409961506724 is an frugal number, since it uses more digits than its factorization.

1409961506724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1409961506724 in words is "one trillion, four hundred nine billion, nine hundred sixty-one million, five hundred six thousand, seven hundred twenty-four".