40154000 has 80 divisors (see below), whose sum is σ = 102890736. Its totient is φ = 15104000.

The previous prime is 40153999. The next prime is 40154003. The reversal of 40154000 is 45104.

It can be written as a sum of positive squares in 8 ways, for example, as 1763584 + 38390416 = 1328^2 + 6196^2 .

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

It is a super-2 number, since 2×40154000² = 3224687432000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40154003) 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 15 ways as a sum of consecutive naturals, for example, 33410 + ... + 34590.

Almost surely, 2^40154000 is an apocalyptic number.

40154000 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 40154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51445368).

40154000 is an abundant number, since it is smaller than the sum of its proper divisors (62736736).

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

40154000 is a wasteful number, since it uses less digits than its factorization.

40154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 40154000 is about 6336.7183936167. The cubic root of 40154000 is about 342.4335211162.

Adding to 40154000 its reverse (45104), we get a palindrome (40199104).

The spelling of 40154000 in words is "forty million, one hundred fifty-four thousand".