11403411410400 has 144 divisors (see below), whose sum is σ = 37149019529328. Its totient is φ = 3038376960000.

The previous prime is 11403411410371. The next prime is 11403411410459. The reversal of 11403411410400 is 401411430411.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904290 + ... + 4860510.

It is an arithmetic number, because the mean of its divisors is an integer number (257979302287).

Almost surely, 2^{11403411410400} is an apocalyptic number.

11403411410400 is a gapful number since it is divisible by the number (10) 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 11403411410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574509764664).

11403411410400 is an abundant number, since it is smaller than the sum of its proper divisors (25745608118928).

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

11403411410400 is a wasteful number, since it uses less digits than its factorization.

11403411410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957445 (or 3957432 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11403411410400 its reverse (401411430411), we get a palindrome (11804822840811).

The spelling of 11403411410400 in words is "eleven trillion, four hundred three billion, four hundred eleven million, four hundred ten thousand, four hundred".