213403413040 has 80 divisors (see below), whose sum is σ = 499798368000. Its totient is φ = 84737892096.

The previous prime is 213403413029. The next prime is 213403413043. The reversal of 213403413040 is 40314304312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 213403412996 and 213403413014.

It is not an unprimeable number, because it can be changed into a prime (213403413043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7037431 + ... + 7067689.

It is an arithmetic number, because the mean of its divisors is an integer number (6247479600).

Almost surely, 2^213403413040 is an apocalyptic number.

213403413040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213403413040 is an abundant number, since it is smaller than the sum of its proper divisors (286394954960).

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

213403413040 is a wasteful number, since it uses less digits than its factorization.

213403413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30914 (or 30908 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 213403413040 its reverse (40314304312), we get a palindrome (253717717352).

The spelling of 213403413040 in words is "two hundred thirteen billion, four hundred three million, four hundred thirteen thousand, forty".