214374978406080 has 840 divisors, whose sum is σ = 805207799903760. Its totient is φ = 54131605032960.

The previous prime is 214374978406049. The next prime is 214374978406129. The reversal of 214374978406080 is 80604879473412.

214374978406080 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 7 + 497 + 8 + 4 + 0 + 60 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214374978405999 and 214374978406017.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25554290526 + ... + 25554298914.

Almost surely, 2^{214374978406080} is an apocalyptic number.

214374978406080 is a gapful number since it is divisible by the number (20) 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 214374978406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402603899951880).

214374978406080 is an abundant number, since it is smaller than the sum of its proper divisors (590832821497680).

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

214374978406080 is a wasteful number, since it uses less digits than its factorization.

214374978406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 214374978406080 in words is "two hundred fourteen trillion, three hundred seventy-four billion, nine hundred seventy-eight million, four hundred six thousand, eighty".