405141120 has 192 divisors, whose sum is σ = 1437569640. Its totient is φ = 105062400.

The previous prime is 405141109. The next prime is 405141137. The reversal of 405141120 is 21141504.

405141120 is a `hidden beast` number, since 40 + 514 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317980224 + 87160896 = 17832^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×405141120² = 328278654229708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 405141093 and 405141102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212170 + ... + 214070.

Almost surely, 2^405141120 is an apocalyptic number.

405141120 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 405141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718784820).

405141120 is an abundant number, since it is smaller than the sum of its proper divisors (1032428520).

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

405141120 is a wasteful number, since it uses less digits than its factorization.

405141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 405141120 is about 20128.1176467150. The cubic root of 405141120 is about 739.9495461096.

Adding to 405141120 its reverse (21141504), we get a palindrome (426282624).

It can be divided in two parts, 405 and 141120, that multiplied together give a square (57153600 = 7560²).

The spelling of 405141120 in words is "four hundred five million, one hundred forty-one thousand, one hundred twenty".