4006952620800 has 864 divisors, whose sum is σ = 14332632652800. Its totient is φ = 982697656320.

The previous prime is 4006952620747. The next prime is 4006952620837. The reversal of 4006952620800 is 80262596004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1786424479 + ... + 1786426721.

It is an arithmetic number, because the mean of its divisors is an integer number (16588695200).

Almost surely, 2^{4006952620800} is an apocalyptic number.

4006952620800 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 4006952620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166316326400).

4006952620800 is an abundant number, since it is smaller than the sum of its proper divisors (10325680032000).

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

4006952620800 is a wasteful number, since it uses less digits than its factorization.

4006952620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 4006952620800 in words is "four trillion, six billion, nine hundred fifty-two million, six hundred twenty thousand, eight hundred".