400040044000 has 96 divisors (see below), whose sum is σ = 992085415776. Its totient is φ = 158520371200.

The previous prime is 400040043971. The next prime is 400040044003. The reversal of 400040044000 is 440040004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040044003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39337 + ... + 895336.

It is an arithmetic number, because the mean of its divisors is an integer number (10334223081).

Almost surely, 2^400040044000 is an apocalyptic number.

400040044000 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 400040044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496042707888).

400040044000 is an abundant number, since it is smaller than the sum of its proper divisors (592045371776).

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

400040044000 is a wasteful number, since it uses less digits than its factorization.

400040044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934805 (or 934787 counting only the distinct ones).

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

Adding to 400040044000 its reverse (440040004), we get a palindrome (400480084004).

The spelling of 400040044000 in words is "four hundred billion, forty million, forty-four thousand".