413738735352 has 64 divisors (see below), whose sum is σ = 1056712366080. Its totient is φ = 134932831872.

The previous prime is 413738735351. The next prime is 413738735369. The reversal of 413738735352 is 253537837314.

It is a super-2 number, since 2×413738735352² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413738735295 and 413738735304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413738735351) 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, 3349278 + ... + 3470610.

It is an arithmetic number, because the mean of its divisors is an integer number (16511130720).

Almost surely, 2^413738735352 is an apocalyptic number.

It is an amenable number.

413738735352 is an abundant number, since it is smaller than the sum of its proper divisors (642973630728).

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

413738735352 is a wasteful number, since it uses less digits than its factorization.

413738735352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124412 (or 124408 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 51.

The spelling of 413738735352 in words is "four hundred thirteen billion, seven hundred thirty-eight million, seven hundred thirty-five thousand, three hundred fifty-two".