214132913280 has 1024 divisors, whose sum is σ = 897583680000. Its totient is φ = 47563407360.

The previous prime is 214132913273. The next prime is 214132913311. The reversal of 214132913280 is 82319231412.

214132913280 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 329 + 1 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 476910496 + ... + 476910944.

Almost surely, 2^214132913280 is an apocalyptic number.

214132913280 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 214132913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448791840000).

214132913280 is an abundant number, since it is smaller than the sum of its proper divisors (683450766720).

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

214132913280 is a wasteful number, since it uses less digits than its factorization.

214132913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 214132913280 in words is "two hundred fourteen billion, one hundred thirty-two million, nine hundred thirteen thousand, two hundred eighty".