40000440040000 has 280 divisors, whose sum is σ = 110039248044000. Its totient is φ = 14299069440000.

The previous prime is 40000440039997. The next prime is 40000440040019. The reversal of 40000440040000 is 4004400004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25189576 + ... + 26730424.

Almost surely, 2^{40000440040000} is an apocalyptic number.

40000440040000 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 40000440040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55019624022000).

40000440040000 is an abundant number, since it is smaller than the sum of its proper divisors (70038808004000).

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

40000440040000 is a wasteful number, since it uses less digits than its factorization.

40000440040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540951 (or 1540926 counting only the distinct ones).

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

Adding to 40000440040000 its reverse (4004400004), we get a palindrome (40004444440004).

The spelling of 40000440040000 in words is "forty trillion, four hundred forty million, forty thousand".