4040000000400 has 1440 divisors, whose sum is σ = 16860960079488. Its totient is φ = 818889523200.

The previous prime is 4040000000357. The next prime is 4040000000417. The reversal of 4040000000400 is 40000000404.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 287 ways as a sum of consecutive naturals, for example, 2347471540 + ... + 2347473260.

Almost surely, 2^{4040000000400} is an apocalyptic number.

4040000000400 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 4040000000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430480039744).

4040000000400 is an abundant number, since it is smaller than the sum of its proper divisors (12820960079088).

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

4040000000400 is a wasteful number, since it uses less digits than its factorization.

4040000000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 4040000000400 its reverse (40000000404), we get a palindrome (4080000000804).

The spelling of 4040000000400 in words is "four trillion, forty billion, four hundred", and thus it is an aban number.