11453501144040 has 256 divisors, whose sum is σ = 36346205952000. Its totient is φ = 2882682470400.

The previous prime is 11453501144039. The next prime is 11453501144051. The reversal of 11453501144040 is 4044110535411.

It is a junction number, because it is equal to n+sod(n) for n = 11453501143992 and 11453501144010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 526030594 + ... + 526052366.

It is an arithmetic number, because the mean of its divisors is an integer number (141977367000).

Almost surely, 2^{11453501144040} is an apocalyptic number.

11453501144040 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 11453501144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173102976000).

11453501144040 is an abundant number, since it is smaller than the sum of its proper divisors (24892704807960).

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

11453501144040 is a wasteful number, since it uses less digits than its factorization.

11453501144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25308 (or 25304 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 11453501144040 its reverse (4044110535411), we get a palindrome (15497611679451).

The spelling of 11453501144040 in words is "eleven trillion, four hundred fifty-three billion, five hundred one million, one hundred forty-four thousand, forty".