40144014240 has 96 divisors (see below), whose sum is σ = 137949448896. Its totient is φ = 9731880960.

The previous prime is 40144014227. The next prime is 40144014247. The reversal of 40144014240 is 4241044104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40144014240² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40144014240.

It is not an unprimeable number, because it can be changed into a prime (40144014247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3796237 + ... + 3806796.

It is an arithmetic number, because the mean of its divisors is an integer number (1436973426).

Almost surely, 2^40144014240 is an apocalyptic number.

40144014240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40144014240 is an abundant number, since it is smaller than the sum of its proper divisors (97805434656).

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

40144014240 is a wasteful number, since it uses less digits than its factorization.

40144014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603062 (or 7603054 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40144014240 its reverse (4241044104), we get a palindrome (44385058344).

The spelling of 40144014240 in words is "forty billion, one hundred forty-four million, fourteen thousand, two hundred forty".