3411253431400 has 96 divisors (see below), whose sum is σ = 8063048585880. Its totient is φ = 1341821952000.

The previous prime is 3411253431379. The next prime is 3411253431403. The reversal of 3411253431400 is 41343521143.

It can be written as a sum of positive squares in 12 ways, for example, as 40746652164 + 3370506779236 = 201858^2 + 1835894^2 .

It is not an unprimeable number, because it can be changed into a prime (3411253431403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56785380 + ... + 56845420.

Almost surely, 2^{3411253431400} 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 3411253431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031524292940).

3411253431400 is an abundant number, since it is smaller than the sum of its proper divisors (4651795154480).

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

3411253431400 is a wasteful number, since it uses less digits than its factorization.

3411253431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64775 (or 64766 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 3411253431400 its reverse (41343521143), we get a palindrome (3452596952543).

The spelling of 3411253431400 in words is "three trillion, four hundred eleven billion, two hundred fifty-three million, four hundred thirty-one thousand, four hundred".