4511155440000 has 640 divisors, whose sum is σ = 16776740724480. Its totient is φ = 1064033280000.

The previous prime is 4511155439953. The next prime is 4511155440007. The reversal of 4511155440000 is 445511154.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4511155440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4511155440007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97656909 + ... + 97703091.

It is an arithmetic number, because the mean of its divisors is an integer number (26213657382).

Almost surely, 2^{4511155440000} is an apocalyptic number.

4511155440000 is a gapful number since it is divisible by the number (40) 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 4511155440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388370362240).

4511155440000 is an abundant number, since it is smaller than the sum of its proper divisors (12265585284480).

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

4511155440000 is a wasteful number, since it uses less digits than its factorization.

4511155440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46268 (or 46241 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 4511155440000 in words is "four trillion, five hundred eleven billion, one hundred fifty-five million, four hundred forty thousand".