356921410041 has 189 divisors, whose sum is σ = 650681674461. Its totient is φ = 195115531968.

The previous prime is 356921410009. The next prime is 356921410051. The reversal of 356921410041 is 140014129653.

It is a happy number.

The square root of 356921410041 is 597429.

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 18057715641 + 338863694400 = 134379^2 + 582120^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 356921410041 - 2⁵ = 356921410009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 356921409978 and 356921410005.

It is not an unprimeable number, because it can be changed into a prime (356921410051) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3274508295 + ... + 3274508403.

Almost surely, 2^356921410041 is an apocalyptic number.

356921410041 is the 597429-th square number.

356921410041 is the 298715-th centered octagonal number.

It is an amenable number.

356921410041 is a deficient number, since it is larger than the sum of its proper divisors (293760264420).

356921410041 is an frugal number, since it uses more digits than its factorization.

356921410041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 356921410041 by its sum of digits (36), we get a square (12849170761476 = 3584574²).

Adding to 356921410041 its reverse (140014129653), we get a palindrome (496935539694).

The spelling of 356921410041 in words is "three hundred fifty-six billion, nine hundred twenty-one million, four hundred ten thousand, forty-one".