416403380549520 has 2400 divisors, whose sum is σ = 1833682860535680. Its totient is φ = 87158364733440.

The previous prime is 416403380549503. The next prime is 416403380549549. The reversal of 416403380549520 is 25945083304614.

It is a happy number.

416403380549520 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 0 + 33 + 80 + 5 + 4 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 131398982496 + ... + 131398985664.

Almost surely, 2^{416403380549520} is an apocalyptic number.

416403380549520 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 416403380549520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916841430267840).

416403380549520 is an abundant number, since it is smaller than the sum of its proper divisors (1417279479986160).

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

416403380549520 is a wasteful number, since it uses less digits than its factorization.

416403380549520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 416403380549520 in words is "four hundred sixteen trillion, four hundred three billion, three hundred eighty million, five hundred forty-nine thousand, five hundred twenty".