40004400040000 has 560 divisors, whose sum is σ = 110511184550976. Its totient is φ = 14241484800000.

The previous prime is 40004400039991. The next prime is 40004400040039. The reversal of 40004400040000 is 4000440004.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 79 ways as a sum of consecutive naturals, for example, 4400435455 + ... + 4400444545.

Almost surely, 2^{40004400040000} is an apocalyptic number.

40004400040000 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 40004400040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55255592275488).

40004400040000 is an abundant number, since it is smaller than the sum of its proper divisors (70506784510976).

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

40004400040000 is a wasteful number, since it uses less digits than its factorization.

40004400040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40004400040000 its reverse (4000440004), we get a palindrome (40008400480004).

40004400040000 divided by its reverse (4000440004) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 40004 and 400040000, that multiplied together give a square (16003200160000 = 4000400²).

The spelling of 40004400040000 in words is "forty trillion, four billion, four hundred million, forty thousand".