4025630016000 has 1600 divisors, whose sum is σ = 16480052709120. Its totient is φ = 972236390400.

The previous prime is 4025630015983. The next prime is 4025630016011. The reversal of 4025630016000 is 6100365204.

4025630016000 is a `hidden beast` number, since 4 + 0 + 2 + 56 + 3 + 0 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2265407112 + ... + 2265408888.

Almost surely, 2^{4025630016000} is an apocalyptic number.

4025630016000 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 4025630016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240026354560).

4025630016000 is an abundant number, since it is smaller than the sum of its proper divisors (12454422693120).

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

4025630016000 is a wasteful number, since it uses less digits than its factorization.

4025630016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 4025630016000 in words is "four trillion, twenty-five billion, six hundred thirty million, sixteen thousand".