4101212014400 has 84 divisors (see below), whose sum is σ = 10142256880800. Its totient is φ = 1632241036800.

The previous prime is 4101212014391. The next prime is 4101212014421. The reversal of 4101212014400 is 44102121014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6121946 + ... + 6758745.

Almost surely, 2^{4101212014400} is an apocalyptic number.

4101212014400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101212014400 is an abundant number, since it is smaller than the sum of its proper divisors (6041044866400).

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

4101212014400 is a wasteful number, since it uses less digits than its factorization.

4101212014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880912 (or 12880897 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4101212014400 its reverse (44102121014), we get a palindrome (4145314135414).

The spelling of 4101212014400 in words is "four trillion, one hundred one billion, two hundred twelve million, fourteen thousand, four hundred".