40144210040 has 256 divisors, whose sum is σ = 112394304000. Its totient is φ = 12711444480.

The previous prime is 40144210037. The next prime is 40144210069. The reversal of 40144210040 is 4001244104.

It is a happy number.

It is a super-2 number, since 2×40144210040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40144209994 and 40144210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6107876 + ... + 6114444.

It is an arithmetic number, because the mean of its divisors is an integer number (439040250).

Almost surely, 2^40144210040 is an apocalyptic number.

40144210040 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 40144210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56197152000).

40144210040 is an abundant number, since it is smaller than the sum of its proper divisors (72250093960).

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

40144210040 is a wasteful number, since it uses less digits than its factorization.

40144210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 40144210040 its reverse (4001244104), we get a palindrome (44145454144).

The spelling of 40144210040 in words is "forty billion, one hundred forty-four million, two hundred ten thousand, forty".