4115451302240 has 192 divisors, whose sum is σ = 10336857249600. Its totient is φ = 1543011434496.

The previous prime is 4115451302239. The next prime is 4115451302243. The reversal of 4115451302240 is 422031545114.

It is a super-2 number, since 2×4115451302240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4115451302197 and 4115451302206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115451302243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821608856 + ... + 821613864.

It is an arithmetic number, because the mean of its divisors is an integer number (53837798175).

Almost surely, 2^{4115451302240} is an apocalyptic number.

4115451302240 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 4115451302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168428624800).

4115451302240 is an abundant number, since it is smaller than the sum of its proper divisors (6221405947360).

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

4115451302240 is a wasteful number, since it uses less digits than its factorization.

4115451302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 4115451302240 its reverse (422031545114), we get a palindrome (4537482847354).

The spelling of 4115451302240 in words is "four trillion, one hundred fifteen billion, four hundred fifty-one million, three hundred two thousand, two hundred forty".