416991755981376 has 63 divisors (see below), whose sum is σ = 1195232983095801. Its totient is φ = 138997088630784.

The previous prime is 416991755981341. The next prime is 416991755981399. The reversal of 416991755981376 is 673189557199614.

The square root of 416991755981376 is 20420376.

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

416991755981376 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 9 + 1 + 7 + 5 + 598 + 13 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131387163955776 + 285604592025600 = 11462424^2 + 16899840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 416991755981295 and 416991755981304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 489663600 + ... + 490514448.

Almost surely, 2^{416991755981376} is an apocalyptic number.

416991755981376 is the 20420376-th square number.

It is an amenable number.

416991755981376 is an abundant number, since it is smaller than the sum of its proper divisors (778241227114425).

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

416991755981376 is an frugal number, since it uses more digits than its factorization.

416991755981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701716 (or 850854 counting only the distinct ones).

The product of its digits is 3086294400, while the sum is 81.

The spelling of 416991755981376 in words is "four hundred sixteen trillion, nine hundred ninety-one billion, seven hundred fifty-five million, nine hundred eighty-one thousand, three hundred seventy-six".