420386379600 has 360 divisors, whose sum is σ = 1481939587296. Its totient is φ = 101791360000.

The previous prime is 420386379593. The next prime is 420386379601. The reversal of 420386379600 is 6973683024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 420386379600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420386379601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 221138650 + ... + 221140550.

Almost surely, 2^420386379600 is an apocalyptic number.

420386379600 is a gapful number since it is divisible by the number (40) 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 420386379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740969793648).

420386379600 is an abundant number, since it is smaller than the sum of its proper divisors (1061553207696).

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

420386379600 is a wasteful number, since it uses less digits than its factorization.

420386379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 420386379600 in words is "four hundred twenty billion, three hundred eighty-six million, three hundred seventy-nine thousand, six hundred".