11241412040400 has 120 divisors (see below), whose sum is σ = 36020155779744. Its totient is φ = 2996863603200.

The previous prime is 11241412040399. The next prime is 11241412040423. The reversal of 11241412040400 is 404021414211.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935870 + ... + 5576930.

Almost surely, 2^{11241412040400} is an apocalyptic number.

11241412040400 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 11241412040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18010077889872).

11241412040400 is an abundant number, since it is smaller than the sum of its proper divisors (24778743739344).

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

11241412040400 is a wasteful number, since it uses less digits than its factorization.

11241412040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644629 (or 2644618 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11241412040400 its reverse (404021414211), we get a palindrome (11645433454611).

The spelling of 11241412040400 in words is "eleven trillion, two hundred forty-one billion, four hundred twelve million, forty thousand, four hundred".