40000400000 has 192 divisors, whose sum is σ = 108670857120. Its totient is φ = 14544000000.

The previous prime is 40000399991. The next prime is 40000400039. The reversal of 40000400000 is 400004.

Added to its reverse (400004) it gives a square (40000800004 = 200002²).

It is a happy number.

It is a Cunningham number, because it is equal to 200001²-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4395455 + ... + 4404545.

Almost surely, 2^40000400000 is an apocalyptic number.

40000400000 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 40000400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54335428560).

40000400000 is an abundant number, since it is smaller than the sum of its proper divisors (68670457120).

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

40000400000 is an frugal number, since it uses more digits than its factorization.

40000400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 40000400000 its reverse (400004), we get a palindrome (40000800004).

40000400000 divided by its reverse (400004) gives a 5-th power (100000 = 10⁵).

The spelling of 40000400000 in words is "forty billion, four hundred thousand".