416724654240 has 288 divisors, whose sum is σ = 1436885049600. Its totient is φ = 109974693888.

The previous prime is 416724654209. The next prime is 416724654257. The reversal of 416724654240 is 42456427614.

It is a happy number.

416724654240 is a `hidden beast` number, since 4 + 1 + 67 + 2 + 4 + 6 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60717049 + ... + 60723911.

It is an arithmetic number, because the mean of its divisors is an integer number (4989184200).

Almost surely, 2^416724654240 is an apocalyptic number.

416724654240 is a gapful number since it is divisible by the number (40) 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 416724654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718442524800).

416724654240 is an abundant number, since it is smaller than the sum of its proper divisors (1020160395360).

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

416724654240 is a wasteful number, since it uses less digits than its factorization.

416724654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 416724654240 in words is "four hundred sixteen billion, seven hundred twenty-four million, six hundred fifty-four thousand, two hundred forty".