7412041728 has 480 divisors, whose sum is σ = 27303756480. Its totient is φ = 1950842880.

The previous prime is 7412041723. The next prime is 7412041739. The reversal of 7412041728 is 8271402147.

It is a super-2 number, since 2×7412041728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7412041692 and 7412041701.

It is not an unprimeable number, because it can be changed into a prime (7412041723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15095563 + ... + 15096053.

It is an arithmetic number, because the mean of its divisors is an integer number (56882826).

Almost surely, 2^7412041728 is an apocalyptic number.

7412041728 is a gapful number since it is divisible by the number (78) 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 7412041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651878240).

7412041728 is an abundant number, since it is smaller than the sum of its proper divisors (19891714752).

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

7412041728 is a wasteful number, since it uses less digits than its factorization.

7412041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7412041728 is about 86093.2153424415. The cubic root of 7412041728 is about 1949.7515991280.

The spelling of 7412041728 in words is "seven billion, four hundred twelve million, forty-one thousand, seven hundred twenty-eight".