3400440411120 has 320 divisors, whose sum is σ = 10853440335360. Its totient is φ = 880342953984.

The previous prime is 3400440411103. The next prime is 3400440411149. The reversal of 3400440411120 is 211140440043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560478327 + ... + 560484393.

It is an arithmetic number, because the mean of its divisors is an integer number (33917001048).

Almost surely, 2^{3400440411120} is an apocalyptic number.

3400440411120 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 3400440411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426720167680).

3400440411120 is an abundant number, since it is smaller than the sum of its proper divisors (7452999924240).

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

3400440411120 is a wasteful number, since it uses less digits than its factorization.

3400440411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3400440411120 its reverse (211140440043), we get a palindrome (3611580851163).

The spelling of 3400440411120 in words is "three trillion, four hundred billion, four hundred forty million, four hundred eleven thousand, one hundred twenty".