1001272404496 has 135 divisors (see below), whose sum is σ = 2444528643111. Its totient is φ = 395963672832.

The previous prime is 1001272404467. The next prime is 1001272404521. The reversal of 1001272404496 is 6944042721001.

The square root of 1001272404496 is 1000636.

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 538785360400 + 462487044096 = 734020^2 + 680064^2 .

It is a Duffinian number.

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, 364230130 + ... + 364232878.

Almost surely, 2^{1001272404496} is an apocalyptic number.

1001272404496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1001272404496 is the 1000636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001272404496

1001272404496 is an abundant number, since it is smaller than the sum of its proper divisors (1443256238615).

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

1001272404496 is an frugal number, since it uses more digits than its factorization.

1001272404496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1001272404496 in words is "one trillion, one billion, two hundred seventy-two million, four hundred four thousand, four hundred ninety-six".