420873355350 has 1080 divisors, whose sum is σ = 1476479302848. Its totient is φ = 88473772800.

The previous prime is 420873355339. The next prime is 420873355379. The reversal of 420873355350 is 53553378024.

420873355350 is a `hidden beast` number, since 4 + 2 + 0 + 87 + 3 + 35 + 535 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 420873355296 and 420873355305.

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 539 ways as a sum of consecutive naturals, for example, 9787752429 + ... + 9787752471.

Almost surely, 2^420873355350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420873355350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738239651424).

420873355350 is an abundant number, since it is smaller than the sum of its proper divisors (1055605947498).

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

420873355350 is a wasteful number, since it uses less digits than its factorization.

420873355350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 420873355350 in words is "four hundred twenty billion, eight hundred seventy-three million, three hundred fifty-five thousand, three hundred fifty".