214984875047040 has 1280 divisors, whose sum is σ = 884760262848000. Its totient is φ = 48730197196800.

The previous prime is 214984875046999. The next prime is 214984875047057. The reversal of 214984875047040 is 40740578489412.

214984875047040 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 8 + 4 + 87 + 504 + 7 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27209827090 + ... + 27209834990.

It is an arithmetic number, because the mean of its divisors is an integer number (691218955350).

Almost surely, 2^{214984875047040} is an apocalyptic number.

214984875047040 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 214984875047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442380131424000).

214984875047040 is an abundant number, since it is smaller than the sum of its proper divisors (669775387800960).

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

214984875047040 is a wasteful number, since it uses less digits than its factorization.

214984875047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 214984875047040 in words is "two hundred fourteen trillion, nine hundred eighty-four billion, eight hundred seventy-five million, forty-seven thousand, forty".