39408525419641 has 9 divisors (see below), whose sum is σ = 45842621503941. Its totient is φ = 33778698408252.

The previous prime is 39408525419633. The next prime is 39408525419657. The reversal of 39408525419641 is 14691452580493.

The square root of 39408525419641 is 6277621.

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

It is not a de Polignac number, because 39408525419641 - 2³ = 39408525419633 is a prime.

It is a super-3 number, since 3×39408525419641³ (a number of 42 digits) contains 333 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 39408525419641.

It is not an unprimeable number, because it can be changed into a prime (39408525419621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43494946 + ... + 44391748.

It is an arithmetic number, because the mean of its divisors is an integer number (5093624611549).

Almost surely, 2^{39408525419641} is an apocalyptic number.

39408525419641 is the 6277621-st square number.

39408525419641 is the 3138811-st centered octagonal number.

It is an amenable number.

39408525419641 is a deficient number, since it is larger than the sum of its proper divisors (6434096084300).

39408525419641 is an frugal number, since it uses more digits than its factorization.

39408525419641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793620 (or 896810 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 39408525419641 in words is "thirty-nine trillion, four hundred eight billion, five hundred twenty-five million, four hundred nineteen thousand, six hundred forty-one".