213226391040 has 320 divisors, whose sum is σ = 751180421376. Its totient is φ = 51264847872.

The previous prime is 213226390967. The next prime is 213226391051. The reversal of 213226391040 is 40193622312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 213226390992 and 213226391010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4268287 + ... + 4317953.

Almost surely, 2^213226391040 is an apocalyptic number.

213226391040 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 213226391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375590210688).

213226391040 is an abundant number, since it is smaller than the sum of its proper divisors (537954030336).

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

213226391040 is a wasteful number, since it uses less digits than its factorization.

213226391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49749 (or 49733 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 213226391040 in words is "two hundred thirteen billion, two hundred twenty-six million, three hundred ninety-one thousand, forty".