40186125000 has 756 divisors, whose sum is σ = 164334908205. Its totient is φ = 9185400000.

The previous prime is 40186124989. The next prime is 40186125029. The reversal of 40186125000 is 52168104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40186125000 is a `hidden beast` number, since 40 + 1 + 8 + 612 + 5 + 0 + 0 + 0 = 666.

40186125000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6852859524 + 33333265476 = 82782^2 + 182574^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=141750.

It is a super-2 number, since 2×40186125000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5740874997 + ... + 5740875003.

Almost surely, 2^40186125000 is an apocalyptic number.

40186125000 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 40186125000

40186125000 is an abundant number, since it is smaller than the sum of its proper divisors (124148783205).

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

40186125000 is an frugal number, since it uses more digits than its factorization.

40186125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 40186125000 in words is "forty billion, one hundred eighty-six million, one hundred twenty-five thousand".