40441200000 has 384 divisors, whose sum is σ = 136543760640. Its totient is φ = 10602240000.

The previous prime is 40441199999. The next prime is 40441200029. The reversal of 40441200000 is 214404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 80399749 + ... + 80400251.

It is an arithmetic number, because the mean of its divisors is an integer number (355582710).

Almost surely, 2^40441200000 is an apocalyptic number.

40441200000 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 40441200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68271880320).

40441200000 is an abundant number, since it is smaller than the sum of its proper divisors (96102560640).

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

40441200000 is an frugal number, since it uses more digits than its factorization.

40441200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40441200000 its reverse (214404), we get a palindrome (40441414404).

The spelling of 40441200000 in words is "forty billion, four hundred forty-one million, two hundred thousand".