160804405440 has 672 divisors, whose sum is σ = 694666022400. Its totient is φ = 34819061760.

The previous prime is 160804405427. The next prime is 160804405483. The reversal of 160804405440 is 44504408061.

It is a happy number.

160804405440 is a `hidden beast` number, since 1 + 608 + 0 + 4 + 4 + 0 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 160804405395 and 160804405404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8033845 + ... + 8053835.

It is an arithmetic number, because the mean of its divisors is an integer number (1033729200).

Almost surely, 2^160804405440 is an apocalyptic number.

160804405440 is a gapful number since it is divisible by the number (10) 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 160804405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347333011200).

160804405440 is an abundant number, since it is smaller than the sum of its proper divisors (533861616960).

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

160804405440 is a wasteful number, since it uses less digits than its factorization.

160804405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20050 (or 20027 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 160804405440 in words is "one hundred sixty billion, eight hundred four million, four hundred five thousand, four hundred forty".