11453241122400 has 288 divisors, whose sum is σ = 46479335632128. Its totient is φ = 2379894220800.

The previous prime is 11453241122359. The next prime is 11453241122413. The reversal of 11453241122400 is 422114235411.

11453241122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30803407 + ... + 31173006.

It is an arithmetic number, because the mean of its divisors is an integer number (161386582056).

Almost surely, 2^{11453241122400} is an apocalyptic number.

11453241122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11453241122400 is an abundant number, since it is smaller than the sum of its proper divisors (35026094509728).

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

11453241122400 is a wasteful number, since it uses less digits than its factorization.

11453241122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61976454 (or 61976441 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11453241122400 its reverse (422114235411), we get a palindrome (11875355357811).

The spelling of 11453241122400 in words is "eleven trillion, four hundred fifty-three billion, two hundred forty-one million, one hundred twenty-two thousand, four hundred".