416211201332557 has 8 divisors (see below), whose sum is σ = 416518820198712. Its totient is φ = 415903694764800.

The previous prime is 416211201332527. The next prime is 416211201332561. The reversal of 416211201332557 is 755233102112614.

It can be written as a sum of positive squares in 4 ways, for example, as 73165202039556 + 343045999293001 = 8553666^2 + 18521501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416211201332557 - 2⁷ = 416211201332429 is a prime.

It is a super-2 number, since 2×416211201332557² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416211201332527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20658544 + ... + 35485177.

It is an arithmetic number, because the mean of its divisors is an integer number (52064852524839).

Almost surely, 2^{416211201332557} is an apocalyptic number.

It is an amenable number.

416211201332557 is a deficient number, since it is larger than the sum of its proper divisors (307618866155).

416211201332557 is a wasteful number, since it uses less digits than its factorization.

416211201332557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56149199.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 416211201332557 in words is "four hundred sixteen trillion, two hundred eleven billion, two hundred one million, three hundred thirty-two thousand, five hundred fifty-seven".