11301431441400 has 72 divisors (see below), whose sum is σ = 37953973930080. Its totient is φ = 3013715050560.

The previous prime is 11301431441389. The next prime is 11301431441411. The reversal of 11301431441400 is 414413410311.

11301431441400 is a `hidden beast` number, since 1 + 1 + 301 + 4 + 314 + 4 + 1 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11301431441389) and next prime (11301431441411).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3139284712 + ... + 3139288311.

Almost surely, 2^{11301431441400} is an apocalyptic number.

11301431441400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301431441400 is an abundant number, since it is smaller than the sum of its proper divisors (26652542488680).

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

11301431441400 is a wasteful number, since it uses less digits than its factorization.

11301431441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278573045 (or 6278573033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11301431441400 its reverse (414413410311), we get a palindrome (11715844851711).

The spelling of 11301431441400 in words is "eleven trillion, three hundred one billion, four hundred thirty-one million, four hundred forty-one thousand, four hundred".