4240829076480 has 264 divisors, whose sum is σ = 14701935429792. Its totient is φ = 1130304946176.

The previous prime is 4240829076437. The next prime is 4240829076499. The reversal of 4240829076480 is 846709280424.

4240829076480 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 8 + 2 + 90 + 76 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93381459 + ... + 93426861.

Almost surely, 2^{4240829076480} is an apocalyptic number.

4240829076480 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 4240829076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350967714896).

4240829076480 is an abundant number, since it is smaller than the sum of its proper divisors (10461106353312).

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

4240829076480 is a wasteful number, since it uses less digits than its factorization.

4240829076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47461 (or 47440 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4240829076480 in words is "four trillion, two hundred forty billion, eight hundred twenty-nine million, seventy-six thousand, four hundred eighty".