4004015652000 has 1920 divisors, whose sum is σ = 18236245547520. Its totient is φ = 837867110400.

The previous prime is 4004015651963. The next prime is 4004015652011. The reversal of 4004015652000 is 2565104004.

4004015652000 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 0 + 1 + 5 + 652 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4098275512 + ... + 4098276488.

It is an arithmetic number, because the mean of its divisors is an integer number (9498044556).

Almost surely, 2^{4004015652000} is an apocalyptic number.

4004015652000 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 4004015652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118122773760).

4004015652000 is an abundant number, since it is smaller than the sum of its proper divisors (14232229895520).

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

4004015652000 is a wasteful number, since it uses less digits than its factorization.

4004015652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 4004015652000 in words is "four trillion, four billion, fifteen million, six hundred fifty-two thousand".