81642000411 has 40 divisors (see below), whose sum is σ = 122435416224. Its totient is φ = 54215827200.

The previous prime is 81642000403. The next prime is 81642000413. The reversal of 81642000411 is 11400024618.

It is a happy number.

81642000411 is a `hidden beast` number, since 8 + 1 + 642 + 0 + 0 + 0 + 4 + 11 = 666.

It is not a de Polignac number, because 81642000411 - 2³ = 81642000403 is a prime.

It is a super-2 number, since 2×81642000411² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81642000413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31927545 + ... + 31930101.

Almost surely, 2^81642000411 is an apocalyptic number.

81642000411 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

81642000411 is a deficient number, since it is larger than the sum of its proper divisors (40793415813).

81642000411 is a wasteful number, since it uses less digits than its factorization.

81642000411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 81642000411 in words is "eighty-one billion, six hundred forty-two million, four hundred eleven", and thus it is an aban number.