40124160 has 252 divisors, whose sum is σ = 147450072. Its totient is φ = 10450944.

The previous prime is 40124129. The next prime is 40124191. The reversal of 40124160 is 6142104.

It is an interprime number because it is at equal distance from previous prime (40124129) and next prime (40124191).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933099 + ... + 933141.

Almost surely, 2^40124160 is an apocalyptic number.

40124160 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 40124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73725036).

40124160 is an abundant number, since it is smaller than the sum of its proper divisors (107325912).

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

40124160 is an frugal number, since it uses more digits than its factorization.

40124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40124160 is about 6334.3634250018. The cubic root of 40124160 is about 342.3486748701.

Adding to 40124160 its reverse (6142104), we get a palindrome (46266264).

The spelling of 40124160 in words is "forty million, one hundred twenty-four thousand, one hundred sixty".