11342045040000 has 1280 divisors, whose sum is σ = 40886221970880. Its totient is φ = 2774532096000.

The previous prime is 11342045039981. The next prime is 11342045040019. The reversal of 11342045040000 is 4054024311.

It is an interprime number because it is at equal distance from previous prime (11342045039981) and next prime (11342045040019).

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 159 ways as a sum of consecutive naturals, for example, 33655919832 + ... + 33655920168.

Almost surely, 2^{11342045040000} is an apocalyptic number.

11342045040000 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 11342045040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20443110985440).

11342045040000 is an abundant number, since it is smaller than the sum of its proper divisors (29544176930880).

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

11342045040000 is a wasteful number, since it uses less digits than its factorization.

11342045040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11342045040000 its reverse (4054024311), we get a palindrome (11346099064311).

The spelling of 11342045040000 in words is "eleven trillion, three hundred forty-two billion, forty-five million, forty thousand".