12413533440 has 288 divisors, whose sum is σ = 49429610496. Its totient is φ = 2579374080.

The previous prime is 12413533409. The next prime is 12413533459. The reversal of 12413533440 is 4433531421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12413533398 and 12413533407.

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, 274689 + ... + 316671.

It is an arithmetic number, because the mean of its divisors is an integer number (171630592).

Almost surely, 2^12413533440 is an apocalyptic number.

12413533440 is a gapful number since it is divisible by the number (10) 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 12413533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24714805248).

12413533440 is an abundant number, since it is smaller than the sum of its proper divisors (37016077056).

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

12413533440 is a wasteful number, since it uses less digits than its factorization.

12413533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42025 (or 42011 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 12413533440 in words is "twelve billion, four hundred thirteen million, five hundred thirty-three thousand, four hundred forty".