6456419420400 has 480 divisors, whose sum is σ = 23555489227200. Its totient is φ = 1678653849600.

The previous prime is 6456419420371. The next prime is 6456419420431. The reversal of 6456419420400 is 40249146546.

6456419420400 is a `hidden beast` number, since 6 + 4 + 56 + 4 + 194 + 2 + 0 + 400 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 893123986 + ... + 893131214.

It is an arithmetic number, because the mean of its divisors is an integer number (49073935890).

Almost surely, 2^{6456419420400} is an apocalyptic number.

6456419420400 is a gapful number since it is divisible by the number (60) 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 6456419420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777744613600).

6456419420400 is an abundant number, since it is smaller than the sum of its proper divisors (17099069806800).

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

6456419420400 is a wasteful number, since it uses less digits than its factorization.

6456419420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6456419420400 in words is "six trillion, four hundred fifty-six billion, four hundred nineteen million, four hundred twenty thousand, four hundred".