3444000001040 has 160 divisors (see below), whose sum is σ = 8575651408896. Its totient is φ = 1283161904640.

The previous prime is 3444000001019. The next prime is 3444000001051. The reversal of 3444000001040 is 401000004443.

It is a super-2 number, since 2×3444000001040² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 26122967 + ... + 26254473.

Almost surely, 2^{3444000001040} 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 3444000001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287825704448).

3444000001040 is an abundant number, since it is smaller than the sum of its proper divisors (5131651407856).

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

3444000001040 is a wasteful number, since it uses less digits than its factorization.

3444000001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131917 (or 131911 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3444000001040 its reverse (401000004443), we get a palindrome (3845000005483).

The spelling of 3444000001040 in words is "three trillion, four hundred forty-four billion, one thousand, forty".