1421408343264 has 576 divisors, whose sum is σ = 4777617600000. Its totient is φ = 369635954688.

The previous prime is 1421408343253. The next prime is 1421408343301. The reversal of 1421408343264 is 4623438041241.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406230987 + ... + 406234485.

It is an arithmetic number, because the mean of its divisors is an integer number (8294475000).

Almost surely, 2^{1421408343264} is an apocalyptic number.

1421408343264 is a gapful number since it is divisible by the number (14) 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 1421408343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388808800000).

1421408343264 is an abundant number, since it is smaller than the sum of its proper divisors (3356209256736).

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

1421408343264 is a wasteful number, since it uses less digits than its factorization.

1421408343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 1421408343264 in words is "one trillion, four hundred twenty-one billion, four hundred eight million, three hundred forty-three thousand, two hundred sixty-four".