405082073655 has 120 divisors (see below), whose sum is σ = 845075726352. Its totient is φ = 185098411008.

The previous prime is 405082073653. The next prime is 405082073699. The reversal of 405082073655 is 556370280504.

405082073655 is a `hidden beast` number, since 4 + 0 + 508 + 20 + 73 + 6 + 55 = 666.

It is not a de Polignac number, because 405082073655 - 2¹ = 405082073653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 405082073655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405082073653) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89558224 + ... + 89562746.

Almost surely, 2^405082073655 is an apocalyptic number.

405082073655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405082073655 is an abundant number, since it is smaller than the sum of its proper divisors (439993652697).

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

405082073655 is a wasteful number, since it uses less digits than its factorization.

405082073655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9067 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 405082073655 in words is "four hundred five billion, eighty-two million, seventy-three thousand, six hundred fifty-five".