3994521062400 has 3168 divisors, whose sum is σ = 17961275404800. Its totient is φ = 835662643200.

The previous prime is 3994521062359. The next prime is 3994521062401. The reversal of 3994521062400 is 42601254993.

3994521062400 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 5 + 2 + 10 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is not an unprimeable number, because it can be changed into a prime (3994521062401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28737561531 + ... + 28737561669.

Almost surely, 2^{3994521062400} is an apocalyptic number.

3994521062400 is a gapful number since it is divisible by the number (30) 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 3994521062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980637702400).

3994521062400 is an abundant number, since it is smaller than the sum of its proper divisors (13966754342400).

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

3994521062400 is a wasteful number, since it uses less digits than its factorization.

3994521062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3994521062400 in words is "three trillion, nine hundred ninety-four billion, five hundred twenty-one million, sixty-two thousand, four hundred".