724400040000 has 560 divisors, whose sum is σ = 2947780508288. Its totient is φ = 152838144000.

The previous prime is 724400039933. The next prime is 724400040017. The reversal of 724400040000 is 40004427.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10886832 + ... + 10953168.

Almost surely, 2^724400040000 is an apocalyptic number.

724400040000 is a gapful number since it is divisible by the number (70) 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 724400040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473890254144).

724400040000 is an abundant number, since it is smaller than the sum of its proper divisors (2223380468288).

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

724400040000 is a wasteful number, since it uses less digits than its factorization.

724400040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66392 (or 66367 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

Adding to 724400040000 its reverse (40004427), we get a palindrome (724440044427).

The spelling of 724400040000 in words is "seven hundred twenty-four billion, four hundred million, forty thousand".