11433140030400 has 672 divisors, whose sum is σ = 42745845090816. Its totient is φ = 2648279040000.

The previous prime is 11433140030371. The next prime is 11433140030407. The reversal of 11433140030400 is 403004133411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11433140030407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1239897790 + ... + 1239907010.

It is an arithmetic number, because the mean of its divisors is an integer number (63609888528).

Almost surely, 2^{11433140030400} is an apocalyptic number.

11433140030400 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 11433140030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21372922545408).

11433140030400 is an abundant number, since it is smaller than the sum of its proper divisors (31312705060416).

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

11433140030400 is a wasteful number, since it uses less digits than its factorization.

11433140030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11433140030400 its reverse (403004133411), we get a palindrome (11836144163811).

The spelling of 11433140030400 in words is "eleven trillion, four hundred thirty-three billion, one hundred forty million, thirty thousand, four hundred".