10409166552976 has 15 divisors (see below), whose sum is σ = 20167785200433. Its totient is φ = 5204576823840.

The previous prime is 10409166552973. The next prime is 10409166552997. The reversal of 10409166552976 is 67925566190401.

It is a happy number.

The square root of 10409166552976 is 3226324.

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., 4038186706576 + 6370979846400 = 2009524^2 + 2524080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10409166552973) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12502006 + ... + 13308586.

Almost surely, 2^{10409166552976} is an apocalyptic number.

10409166552976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10409166552976 is the 3226324-th square number.

It is an amenable number.

10409166552976 is a deficient number, since it is larger than the sum of its proper divisors (9758618647457).

10409166552976 is an frugal number, since it uses more digits than its factorization.

10409166552976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613170 (or 806583 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 61.

The spelling of 10409166552976 in words is "ten trillion, four hundred nine billion, one hundred sixty-six million, five hundred fifty-two thousand, nine hundred seventy-six".