160415438000 has 80 divisors (see below), whose sum is σ = 388441254240. Its totient is φ = 64074080000.

The previous prime is 160415437999. The next prime is 160415438009. The reversal of 160415438000 is 834514061.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×160415438000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (160415438009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344791 + ... + 1459209.

It is an arithmetic number, because the mean of its divisors is an integer number (4855515678).

Almost surely, 2^160415438000 is an apocalyptic number.

160415438000 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 160415438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194220627120).

160415438000 is an abundant number, since it is smaller than the sum of its proper divisors (228025816240).

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

160415438000 is a wasteful number, since it uses less digits than its factorization.

160415438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115143 (or 115127 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 160415438000 in words is "one hundred sixty billion, four hundred fifteen million, four hundred thirty-eight thousand".