6419615420416 has 351 divisors, whose sum is σ = 14593210095009. Its totient is φ = 2821523865600.

The previous prime is 6419615420401. The next prime is 6419615420437. The reversal of 6419615420416 is 6140245169146.

The square root of 6419615420416 is 2533696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 208753954816 + 6210861465600 = 456896^2 + 2492160^2 .

It is a super-2 number, since 2×6419615420416² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6419615420416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105239597026 + ... + 105239597086.

Almost surely, 2^{6419615420416} is an apocalyptic number.

6419615420416 is the 2533696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6419615420416

6419615420416 is an abundant number, since it is smaller than the sum of its proper divisors (8173594674593).

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

6419615420416 is an frugal number, since it uses more digits than its factorization.

6419615420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 6419615420416 by its sum of digits (49), we get a square (314561155600384 = 17735872²).

The spelling of 6419615420416 in words is "six trillion, four hundred nineteen billion, six hundred fifteen million, four hundred twenty thousand, four hundred sixteen".