40000444440000 has 560 divisors, whose sum is σ = 152760371233536. Its totient is φ = 9126656000000.

The previous prime is 40000444439999. The next prime is 40000444440053. The reversal of 40000444440000 is 4444400004.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21548725 + ... + 23331275.

Almost surely, 2^{40000444440000} is an apocalyptic number.

40000444440000 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 40000444440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76380185616768).

40000444440000 is an abundant number, since it is smaller than the sum of its proper divisors (112759926793536).

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

40000444440000 is a wasteful number, since it uses less digits than its factorization.

40000444440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782614 (or 1782589 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40000444440000 its reverse (4444400004), we get a palindrome (40004888840004).

The spelling of 40000444440000 in words is "forty trillion, four hundred forty-four million, four hundred forty thousand".