214211040420400 has 60 divisors (see below), whose sum is σ = 526610443829272. Its totient is φ = 83691755320320.

The previous prime is 214211040420383. The next prime is 214211040420427. The reversal of 214211040420400 is 4024040112412.

It is a happy number.

It is a super-3 number, since 3×214211040420400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6227047929 + ... + 6227082328.

Almost surely, 2^{214211040420400} is an apocalyptic number.

214211040420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211040420400 is an abundant number, since it is smaller than the sum of its proper divisors (312399403408872).

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

214211040420400 is a wasteful number, since it uses less digits than its factorization.

214211040420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454130318 (or 12454130307 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 214211040420400 its reverse (4024040112412), we get a palindrome (218235080532812).

The spelling of 214211040420400 in words is "two hundred fourteen trillion, two hundred eleven billion, forty million, four hundred twenty thousand, four hundred".