40024400240 has 80 divisors (see below), whose sum is σ = 101547893376. Its totient is φ = 14549817600.

The previous prime is 40024400231. The next prime is 40024400243. The reversal of 40024400240 is 4200442004.

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

It is a super-3 number, since 3×40024400240³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40024400243) 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, 4398095 + ... + 4407185.

Almost surely, 2^40024400240 is an apocalyptic number.

40024400240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40024400240 is an abundant number, since it is smaller than the sum of its proper divisors (61523493136).

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

40024400240 is a wasteful number, since it uses less digits than its factorization.

40024400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40024400240 its reverse (4200442004), we get a palindrome (44224842244).

The spelling of 40024400240 in words is "forty billion, twenty-four million, four hundred thousand, two hundred forty".