405119342160 has 800 divisors, whose sum is σ = 1608390389760. Its totient is φ = 93682262016.

The previous prime is 405119342101. The next prime is 405119342167. The reversal of 405119342160 is 61243911504.

It is a happy number.

405119342160 is a `hidden beast` number, since 4 + 0 + 511 + 93 + 42 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405119342167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 203270124 + ... + 203272116.

Almost surely, 2^405119342160 is an apocalyptic number.

405119342160 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 405119342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804195194880).

405119342160 is an abundant number, since it is smaller than the sum of its proper divisors (1203271047600).

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

405119342160 is a wasteful number, since it uses less digits than its factorization.

405119342160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 405119342160 in words is "four hundred five billion, one hundred nineteen million, three hundred forty-two thousand, one hundred sixty".