420320953785600 has 2592 divisors, whose sum is σ = 1901237772994560. Its totient is φ = 89731805184000.

The previous prime is 420320953785587. The next prime is 420320953785611. The reversal of 420320953785600 is 6587359023024.

420320953785600 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 2 + 0 + 9 + 5 + 3 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14685739290 + ... + 14685767910.

Almost surely, 2^{420320953785600} is an apocalyptic number.

420320953785600 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 420320953785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950618886497280).

420320953785600 is an abundant number, since it is smaller than the sum of its proper divisors (1480916819208960).

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

420320953785600 is a wasteful number, since it uses less digits than its factorization.

420320953785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28759 (or 28728 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 420320953785600 in words is "four hundred twenty trillion, three hundred twenty billion, nine hundred fifty-three million, seven hundred eighty-five thousand, six hundred".