214100554414400 has 168 divisors, whose sum is σ = 546665419548864. Its totient is φ = 82470437683200.

The previous prime is 214100554414301. The next prime is 214100554414421. The reversal of 214100554414400 is 4414455001412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17030177 + ... + 26799776.

It is an arithmetic number, because the mean of its divisors is an integer number (3253960830648).

Almost surely, 2^{214100554414400} is an apocalyptic number.

214100554414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214100554414400 is an abundant number, since it is smaller than the sum of its proper divisors (332564865134464).

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

214100554414400 is a wasteful number, since it uses less digits than its factorization.

214100554414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43830089 (or 43830074 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The spelling of 214100554414400 in words is "two hundred fourteen trillion, one hundred billion, five hundred fifty-four million, four hundred fourteen thousand, four hundred".