40156800 has 192 divisors, whose sum is σ = 136598400. Its totient is φ = 10362880.

The previous prime is 40156783. The next prime is 40156801. The reversal of 40156800 is 865104.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40156800² = 3225137172480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40156801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 451156 + ... + 451244.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^40156800 is an apocalyptic number.

40156800 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 40156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

40156800 is an abundant number, since it is smaller than the sum of its proper divisors (96441600).

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

40156800 is a wasteful number, since it uses less digits than its factorization.

40156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 40156800 is about 6336.9393243111. The cubic root of 40156800 is about 342.4414804027.

The spelling of 40156800 in words is "forty million, one hundred fifty-six thousand, eight hundred".