214353435210400 has 36 divisors (see below), whose sum is σ = 523290323709342. Its totient is φ = 85741374083840.

The previous prime is 214353435210371. The next prime is 214353435210403. The reversal of 214353435210400 is 4012534353412.

It can be written as a sum of positive squares in 3 ways, for example, as 193675206892176 + 20678228318224 = 13916724^2 + 4547332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214353435210400.

It is not an unprimeable number, because it can be changed into a prime (214353435210403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133970896207 + ... + 133970897806.

Almost surely, 2^{214353435210400} is an apocalyptic number.

214353435210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214353435210400 is an abundant number, since it is smaller than the sum of its proper divisors (308936888498942).

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

214353435210400 is a wasteful number, since it uses less digits than its factorization.

214353435210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267941794033 (or 267941794020 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 214353435210400 its reverse (4012534353412), we get a palindrome (218365969563812).

The spelling of 214353435210400 in words is "two hundred fourteen trillion, three hundred fifty-three billion, four hundred thirty-five million, two hundred ten thousand, four hundred".