11451205353040 has 40 divisors (see below), whose sum is σ = 26800370702208. Its totient is φ = 4550147817600.

The previous prime is 11451205353037. The next prime is 11451205353047. The reversal of 11451205353040 is 4035350215411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×11451205353040⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11451205352987 and 11451205353005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451205353047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473961652 + ... + 473985811.

Almost surely, 2^{11451205353040} is an apocalyptic number.

11451205353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451205353040 is an abundant number, since it is smaller than the sum of its proper divisors (15349165349168).

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

11451205353040 is a wasteful number, since it uses less digits than its factorization.

11451205353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947947627 (or 947947621 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 11451205353040 its reverse (4035350215411), we get a palindrome (15486555568451).

The spelling of 11451205353040 in words is "eleven trillion, four hundred fifty-one billion, two hundred five million, three hundred fifty-three thousand, forty".