4000040229760 has 128 divisors (see below), whose sum is σ = 9634394700000. Its totient is φ = 1588009992192.

The previous prime is 4000040229737. The next prime is 4000040229797. The reversal of 4000040229760 is 679220400004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442037716 + ... + 442046764.

Almost surely, 2^{4000040229760} is an apocalyptic number.

4000040229760 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 4000040229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817197350000).

4000040229760 is an abundant number, since it is smaller than the sum of its proper divisors (5634354470240).

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

4000040229760 is a wasteful number, since it uses less digits than its factorization.

4000040229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176 (or 14164 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 4000040229760 its reverse (679220400004), we get a palindrome (4679260629764).

The spelling of 4000040229760 in words is "four trillion, forty million, two hundred twenty-nine thousand, seven hundred sixty".