416742493440 has 1728 divisors, whose sum is σ = 1816785427968. Its totient is φ = 78989230080.

The previous prime is 416742493439. The next prime is 416742493441. The reversal of 416742493440 is 44394247614.

It is an interprime number because it is at equal distance from previous prime (416742493439) and next prime (416742493441).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 416742493440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416742493441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5708801244 + ... + 5708801316.

It is an arithmetic number, because the mean of its divisors is an integer number (1051380456).

Almost surely, 2^416742493440 is an apocalyptic number.

416742493440 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 416742493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908392713984).

416742493440 is an abundant number, since it is smaller than the sum of its proper divisors (1400042934528).

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

416742493440 is a wasteful number, since it uses less digits than its factorization.

416742493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 416742493440 in words is "four hundred sixteen billion, seven hundred forty-two million, four hundred ninety-three thousand, four hundred forty".