408161867436288 has 756 divisors, whose sum is σ = 1424561491830540. Its totient is φ = 116322894471168.

The previous prime is 408161867436287. The next prime is 408161867436289. The reversal of 408161867436288 is 882634768161804.

408161867436288 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 6 + 186 + 7 + 4 + 362 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (408161867436287) and next prime (408161867436289).

It can be written as a sum of positive squares in 2 ways, for example, as 286466727907584 + 121695139528704 = 16925328^2 + 11031552^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×408161867436288² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (408161867436287) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3630340458 + ... + 3630452886.

Almost surely, 2^{408161867436288} is an apocalyptic number.

408161867436288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408161867436288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712280745915270).

408161867436288 is an abundant number, since it is smaller than the sum of its proper divisors (1016399624394252).

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

408161867436288 is an equidigital number, since it uses as much as digits as its factorization.

408161867436288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112874 (or 112838 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 408161867436288 in words is "four hundred eight trillion, one hundred sixty-one billion, eight hundred sixty-seven million, four hundred thirty-six thousand, two hundred eighty-eight".