3941464665600 has 2160 divisors, whose sum is σ = 18570864888576. Its totient is φ = 818657280000.

The previous prime is 3941464665583. The next prime is 3941464665631. The reversal of 3941464665600 is 65664641493.

3941464665600 is a `hidden beast` number, since 3 + 9 + 4 + 14 + 6 + 4 + 66 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1676504425 + ... + 1676506775.

Almost surely, 2^{3941464665600} is an apocalyptic number.

3941464665600 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 3941464665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285432444288).

3941464665600 is an abundant number, since it is smaller than the sum of its proper divisors (14629400222976).

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

3941464665600 is a wasteful number, since it uses less digits than its factorization.

3941464665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

It can be divided in two parts, 3941464 and 665600, that added together give a palindrome (4607064).

The spelling of 3941464665600 in words is "three trillion, nine hundred forty-one billion, four hundred sixty-four million, six hundred sixty-five thousand, six hundred".