416445454320 has 320 divisors, whose sum is σ = 1541412771840. Its totient is φ = 90994176000.

The previous prime is 416445454297. The next prime is 416445454343. The reversal of 416445454320 is 23454544614.

It is an interprime number because it is at equal distance from previous prime (416445454297) and next prime (416445454343).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4878405 + ... + 4963035.

It is an arithmetic number, because the mean of its divisors is an integer number (4816914912).

Almost surely, 2^416445454320 is an apocalyptic number.

416445454320 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 416445454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770706385920).

416445454320 is an abundant number, since it is smaller than the sum of its proper divisors (1124967317520).

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

416445454320 is a wasteful number, since it uses less digits than its factorization.

416445454320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84784 (or 84778 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 416445454320 its reverse (23454544614), we get a palindrome (439899998934).

The spelling of 416445454320 in words is "four hundred sixteen billion, four hundred forty-five million, four hundred fifty-four thousand, three hundred twenty".