40145040 has 120 divisors (see below), whose sum is σ = 145225080. Its totient is φ = 9879552.

The previous prime is 40145023. The next prime is 40145059. The reversal of 40145040 is 4054104.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 34152336 = 2448^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40145040² = 3223248473203200, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7216 + ... + 11504.

It is an arithmetic number, because the mean of its divisors is an integer number (1210209).

Almost surely, 2^40145040 is an apocalyptic number.

40145040 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 40145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72612540).

40145040 is an abundant number, since it is smaller than the sum of its proper divisors (105080040).

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

40145040 is a wasteful number, since it uses less digits than its factorization.

40145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40145040 is about 6336.0113636262. The cubic root of 40145040 is about 342.4080489126.

Adding to 40145040 its reverse (4054104), we get a palindrome (44199144).

The spelling of 40145040 in words is "forty million, one hundred forty-five thousand, forty".