11402344430400 has 672 divisors, whose sum is σ = 46733516863488. Its totient is φ = 2364569395200.

The previous prime is 11402344430381. The next prime is 11402344430417. The reversal of 11402344430400 is 403444320411.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 185878134 + ... + 185939466.

It is an arithmetic number, because the mean of its divisors is an integer number (69543923904).

Almost surely, 2^{11402344430400} is an apocalyptic number.

11402344430400 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 11402344430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23366758431744).

11402344430400 is an abundant number, since it is smaller than the sum of its proper divisors (35331172433088).

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

11402344430400 is a wasteful number, since it uses less digits than its factorization.

11402344430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61879 (or 61864 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11402344430400 its reverse (403444320411), we get a palindrome (11805788750811).

The spelling of 11402344430400 in words is "eleven trillion, four hundred two billion, three hundred forty-four million, four hundred thirty thousand, four hundred".