405152117160 has 512 divisors, whose sum is σ = 1553872896000. Its totient is φ = 82555490304.

The previous prime is 405152117159. The next prime is 405152117221. The reversal of 405152117160 is 61711251504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78408897 + ... + 78414063.

It is an arithmetic number, because the mean of its divisors is an integer number (3034908000).

Almost surely, 2^405152117160 is an apocalyptic number.

405152117160 is a gapful number since it is divisible by the number (40) 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 405152117160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776936448000).

405152117160 is an abundant number, since it is smaller than the sum of its proper divisors (1148720778840).

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

405152117160 is a wasteful number, since it uses less digits than its factorization.

405152117160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

Adding to 405152117160 its reverse (61711251504), we get a palindrome (466863368664).

The spelling of 405152117160 in words is "four hundred five billion, one hundred fifty-two million, one hundred seventeen thousand, one hundred sixty".