3440010133440 has 448 divisors, whose sum is σ = 12218487120000. Its totient is φ = 911092285440.

The previous prime is 3440010133433. The next prime is 3440010133453. The reversal of 3440010133440 is 443310100443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811129720 + ... + 811133960.

It is an arithmetic number, because the mean of its divisors is an integer number (27273408750).

Almost surely, 2^{3440010133440} is an apocalyptic number.

3440010133440 is a gapful number since it is divisible by the number (30) 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 3440010133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109243560000).

3440010133440 is an abundant number, since it is smaller than the sum of its proper divisors (8778476986560).

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

3440010133440 is a wasteful number, since it uses less digits than its factorization.

3440010133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3440010133440 its reverse (443310100443), we get a palindrome (3883320233883).

The spelling of 3440010133440 in words is "three trillion, four hundred forty billion, ten million, one hundred thirty-three thousand, four hundred forty".