214402052000 has 96 divisors (see below), whose sum is σ = 527362027920. Its totient is φ = 85667020800.

The previous prime is 214402051979. The next prime is 214402052047. The reversal of 214402052000 is 250204412.

It is a happy number.

214402052000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4751620624 + 209650431376 = 68932^2 + 457876^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3687152 + ... + 3744848.

Almost surely, 2^214402052000 is an apocalyptic number.

214402052000 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 214402052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263681013960).

214402052000 is an abundant number, since it is smaller than the sum of its proper divisors (312959975920).

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

214402052000 is an equidigital number, since it uses as much as digits as its factorization.

214402052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58651 (or 58633 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 214402052000 its reverse (250204412), we get a palindrome (214652256412).

The spelling of 214402052000 in words is "two hundred fourteen billion, four hundred two million, fifty-two thousand".