1006421695344 has 60 divisors (see below), whose sum is σ = 3033243170776. Its totient is φ = 309668213376.

The previous prime is 1006421695333. The next prime is 1006421695351. The reversal of 1006421695344 is 4435961246001.

1006421695344 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 216 + 95 + 344 = 666.

1006421695344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1006421695344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268807342 + ... + 268811085.

Almost surely, 2^{1006421695344} is an apocalyptic number.

It is an amenable number.

1006421695344 is an abundant number, since it is smaller than the sum of its proper divisors (2026821475432).

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

1006421695344 is a wasteful number, since it uses less digits than its factorization.

1006421695344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537618454 (or 537618445 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1006421695344 in words is "one trillion, six billion, four hundred twenty-one million, six hundred ninety-five thousand, three hundred forty-four".