35440040000 has 280 divisors, whose sum is σ = 91160787960. Its totient is φ = 13658112000.

The previous prime is 35440039981. The next prime is 35440040021. The reversal of 35440040000 is 4004453.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 26770195456 + 8669844544 = 163616^2 + 93112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 154759886 + ... + 154760114.

Almost surely, 2^35440040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35440040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45580393980).

35440040000 is an abundant number, since it is smaller than the sum of its proper divisors (55720747960).

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

35440040000 is an equidigital number, since it uses as much as digits as its factorization.

35440040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 35440040000 its reverse (4004453), we get a palindrome (35444044453).

The spelling of 35440040000 in words is "thirty-five billion, four hundred forty million, forty thousand".