1642457404224 has 672 divisors, whose sum is σ = 6270203197440. Its totient is φ = 414333646848.

The previous prime is 1642457404219. The next prime is 1642457404307. The reversal of 1642457404224 is 4224047542461.

It is a happy number.

1642457404224 is a `hidden beast` number, since 16 + 4 + 2 + 4 + 5 + 7 + 404 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 1642457404224.

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, 32525107 + ... + 32575565.

It is an arithmetic number, because the mean of its divisors is an integer number (9330659520).

Almost surely, 2^{1642457404224} is an apocalyptic number.

1642457404224 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 1642457404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135101598720).

1642457404224 is an abundant number, since it is smaller than the sum of its proper divisors (4627745793216).

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

1642457404224 is a wasteful number, since it uses less digits than its factorization.

1642457404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50529 (or 50507 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 1642457404224 in words is "one trillion, six hundred forty-two billion, four hundred fifty-seven million, four hundred four thousand, two hundred twenty-four".