214007555340 has 36 divisors (see below), whose sum is σ = 649156251744. Its totient is φ = 57068681376.

The previous prime is 214007555269. The next prime is 214007555389. The reversal of 214007555340 is 43555700412.

214007555340 is a `hidden beast` number, since 21 + 40 + 0 + 7 + 5 + 553 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 214007555295 and 214007555304.

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 11 ways as a sum of consecutive naturals, for example, 594465252 + ... + 594465611.

It is an arithmetic number, because the mean of its divisors is an integer number (18032118104).

Almost surely, 2^214007555340 is an apocalyptic number.

214007555340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214007555340 is an abundant number, since it is smaller than the sum of its proper divisors (435148696404).

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

214007555340 is a wasteful number, since it uses less digits than its factorization.

214007555340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188930878 (or 1188930873 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 214007555340 in words is "two hundred fourteen billion, seven million, five hundred fifty-five thousand, three hundred forty".