214075328040 has 384 divisors, whose sum is σ = 801444384000. Its totient is φ = 48545132544.

The previous prime is 214075328017. The next prime is 214075328053. The reversal of 214075328040 is 40823570412.

It is a happy number.

214075328040 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 7 + 532 + 80 + 40 = 666.

It is a super-2 number, since 2×214075328040² (a number of 23 digits) contains 22 as substring.

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 = 214075327986 and 214075328004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236025267 + ... + 236026173.

It is an arithmetic number, because the mean of its divisors is an integer number (2087094750).

Almost surely, 2^214075328040 is an apocalyptic number.

214075328040 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 214075328040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400722192000).

214075328040 is an abundant number, since it is smaller than the sum of its proper divisors (587369055960).

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

214075328040 is a wasteful number, since it uses less digits than its factorization.

214075328040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 214075328040 its reverse (40823570412), we get a palindrome (254898898452).

The spelling of 214075328040 in words is "two hundred fourteen billion, seventy-five million, three hundred twenty-eight thousand, forty".