40124160000 has 840 divisors, whose sum is σ = 153807593940. Its totient is φ = 10450944000.

The previous prime is 40124159993. The next prime is 40124160023. The reversal of 40124160000 is 6142104.

40124160000 is a `hidden beast` number, since 40 + 1 + 24 + 1 + 600 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 933119979 + ... + 933120021.

Almost surely, 2^40124160000 is an apocalyptic number.

40124160000 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 40124160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76903796970).

40124160000 is an abundant number, since it is smaller than the sum of its proper divisors (113683433940).

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

40124160000 is an frugal number, since it uses more digits than its factorization.

40124160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

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

The spelling of 40124160000 in words is "forty billion, one hundred twenty-four million, one hundred sixty thousand".