40055040 has 288 divisors, whose sum is σ = 152073600. Its totient is φ = 9953280.

The previous prime is 40055017. The next prime is 40055047. The reversal of 40055040 is 4055004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (40055047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656610 + ... + 656670.

Almost surely, 2^40055040 is an apocalyptic number.

40055040 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 40055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76036800).

40055040 is an abundant number, since it is smaller than the sum of its proper divisors (112018560).

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

40055040 is a wasteful number, since it uses less digits than its factorization.

40055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40055040 is about 6328.9051185809. The cubic root of 40055040 is about 342.1519792365.

It can be divided in two parts, 4005 and 5040, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 40055040 in words is "forty million, fifty-five thousand, forty".