4008229472520 has 576 divisors, whose sum is σ = 16845676323840. Its totient is φ = 818410521600.

The previous prime is 4008229472509. The next prime is 4008229472609. The reversal of 4008229472520 is 252749228004.

4008229472520 is a `hidden beast` number, since 4 + 0 + 0 + 82 + 2 + 9 + 47 + 2 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6827005 + ... + 7390835.

It is an arithmetic number, because the mean of its divisors is an integer number (29245965840).

Almost surely, 2^{4008229472520} is an apocalyptic number.

4008229472520 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 4008229472520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422838161920).

4008229472520 is an abundant number, since it is smaller than the sum of its proper divisors (12837446851320).

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

4008229472520 is a wasteful number, since it uses less digits than its factorization.

4008229472520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563906 (or 563892 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4008229472520 in words is "four trillion, eight billion, two hundred twenty-nine million, four hundred seventy-two thousand, five hundred twenty".