4000400040384 has 336 divisors, whose sum is σ = 12709223654400. Its totient is φ = 1192936734720.

The previous prime is 4000400040367. The next prime is 4000400040433. The reversal of 4000400040384 is 4830400040004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135138417 + ... + 135168015.

It is an arithmetic number, because the mean of its divisors is an integer number (37825070400).

Almost surely, 2^{4000400040384} is an apocalyptic number.

4000400040384 is a gapful number since it is divisible by the number (44) 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 4000400040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354611827200).

4000400040384 is an abundant number, since it is smaller than the sum of its proper divisors (8708823614016).

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

4000400040384 is a wasteful number, since it uses less digits than its factorization.

4000400040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29968 (or 29955 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4000400040384 its reverse (4830400040004), we get a palindrome (8830800080388).

The spelling of 4000400040384 in words is "four trillion, four hundred million, forty thousand, three hundred eighty-four".