213420552401420 has 480 divisors, whose sum is σ = 599852556289728. Its totient is φ = 63180387680256.

The previous prime is 213420552401417. The next prime is 213420552401443. The reversal of 213420552401420 is 24104255024312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1729762772 + ... + 1729886148.

Almost surely, 2^{213420552401420} is an apocalyptic number.

213420552401420 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 213420552401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299926278144864).

213420552401420 is an abundant number, since it is smaller than the sum of its proper divisors (386432003888308).

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

213420552401420 is a wasteful number, since it uses less digits than its factorization.

213420552401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123607 (or 123584 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 213420552401420 in words is "two hundred thirteen trillion, four hundred twenty billion, five hundred fifty-two million, four hundred one thousand, four hundred twenty".