40004410340400 has 240 divisors, whose sum is σ = 139867116681600. Its totient is φ = 9693190707200.

The previous prime is 40004410340371. The next prime is 40004410340417. The reversal of 40004410340400 is 404301440004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25683076 + ... + 27196124.

It is an arithmetic number, because the mean of its divisors is an integer number (582779652840).

Almost surely, 2^{40004410340400} is an apocalyptic number.

40004410340400 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 40004410340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69933558340800).

40004410340400 is an abundant number, since it is smaller than the sum of its proper divisors (99862706341200).

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

40004410340400 is a wasteful number, since it uses less digits than its factorization.

40004410340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515084 (or 1515073 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40004410340400 its reverse (404301440004), we get a palindrome (40408711780404).

The spelling of 40004410340400 in words is "forty trillion, four billion, four hundred ten million, three hundred forty thousand, four hundred".