214122615840 has 720 divisors, whose sum is σ = 886878877248. Its totient is φ = 46081944576.

The previous prime is 214122615829. The next prime is 214122615869. The reversal of 214122615840 is 48516221412.

214122615840 is a `hidden beast` number, since 2 + 1 + 4 + 12 + 2 + 61 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×214122615840² (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 = 214122615795 and 214122615804.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1313635599 + ... + 1313635761.

Almost surely, 2^214122615840 is an apocalyptic number.

214122615840 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 214122615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443439438624).

214122615840 is an abundant number, since it is smaller than the sum of its proper divisors (672756261408).

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

214122615840 is an equidigital number, since it uses as much as digits as its factorization.

214122615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 214122615840 in words is "two hundred fourteen billion, one hundred twenty-two million, six hundred fifteen thousand, eight hundred forty".