40102160 has 80 divisors (see below), whose sum is σ = 112195200. Its totient is φ = 13022208.

The previous prime is 40102147. The next prime is 40102171. The reversal of 40102160 is 6120104.

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8756 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (1402440).

Almost surely, 2^40102160 is an apocalyptic number.

40102160 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 40102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56097600).

40102160 is an abundant number, since it is smaller than the sum of its proper divisors (72093040).

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

40102160 is a wasteful number, since it uses less digits than its factorization.

40102160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 40102160 is about 6332.6266272377. The cubic root of 40102160 is about 342.2860937236.

Adding to 40102160 its reverse (6120104), we get a palindrome (46222264).

The spelling of 40102160 in words is "forty million, one hundred two thousand, one hundred sixty".