4615015429440 has 672 divisors, whose sum is σ = 17224051318656. Its totient is φ = 1127447838720.

The previous prime is 4615015429391. The next prime is 4615015429447. The reversal of 4615015429440 is 449245105164.

4615015429440 is a `hidden beast` number, since 4 + 6 + 1 + 50 + 154 + 2 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4615015429447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4131615762 + ... + 4131616878.

It is an arithmetic number, because the mean of its divisors is an integer number (25631028748).

Almost surely, 2^{4615015429440} is an apocalyptic number.

4615015429440 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 4615015429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612025659328).

4615015429440 is an abundant number, since it is smaller than the sum of its proper divisors (12609035889216).

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

4615015429440 is a wasteful number, since it uses less digits than its factorization.

4615015429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4615015429440 in words is "four trillion, six hundred fifteen billion, fifteen million, four hundred twenty-nine thousand, four hundred forty".