214025898240 has 2880 divisors, whose sum is σ = 1076987197440. Its totient is φ = 39176110080.

The previous prime is 214025898239. The next prime is 214025898277. The reversal of 214025898240 is 42898520412.

214025898240 is a `hidden beast` number, since 2 + 1 + 40 + 2 + 589 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2578625239 + ... + 2578625321.

It is an arithmetic number, because the mean of its divisors is an integer number (373953888).

Almost surely, 2^214025898240 is an apocalyptic number.

214025898240 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 214025898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538493598720).

214025898240 is an abundant number, since it is smaller than the sum of its proper divisors (862961299200).

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

214025898240 is a wasteful number, since it uses less digits than its factorization.

214025898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 214025898240 in words is "two hundred fourteen billion, twenty-five million, eight hundred ninety-eight thousand, two hundred forty".