11301411010400 has 144 divisors (see below), whose sum is σ = 31573385673984. Its totient is φ = 3869553031680.

The previous prime is 11301411010399. The next prime is 11301411010403. The reversal of 11301411010400 is 401011410311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301411010403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2802719 + ... + 5518881.

It is an arithmetic number, because the mean of its divisors is an integer number (219259622736).

Almost surely, 2^{11301411010400} is an apocalyptic number.

11301411010400 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 11301411010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786692836992).

11301411010400 is an abundant number, since it is smaller than the sum of its proper divisors (20271974663584).

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

11301411010400 is a wasteful number, since it uses less digits than its factorization.

11301411010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716933 (or 2716920 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11301411010400 its reverse (401011410311), we get a palindrome (11702422420711).

The spelling of 11301411010400 in words is "eleven trillion, three hundred one billion, four hundred eleven million, ten thousand, four hundred".