420692617382400 has 960 divisors, whose sum is σ = 1684939942477440. Its totient is φ = 101960869478400.

The previous prime is 420692617382371. The next prime is 420692617382413. The reversal of 420692617382400 is 4283716296024.

It is a happy number.

420692617382400 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 92 + 6 + 1 + 73 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 18753281584 + ... + 18753304016.

It is an arithmetic number, because the mean of its divisors is an integer number (1755145773414).

Almost surely, 2^{420692617382400} is an apocalyptic number.

420692617382400 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 420692617382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842469971238720).

420692617382400 is an abundant number, since it is smaller than the sum of its proper divisors (1264247325095040).

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

420692617382400 is a wasteful number, since it uses less digits than its factorization.

420692617382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27414 (or 27387 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 420692617382400 in words is "four hundred twenty trillion, six hundred ninety-two billion, six hundred seventeen million, three hundred eighty-two thousand, four hundred".