420204749760 has 280 divisors, whose sum is σ = 1496316753360. Its totient is φ = 111936577536.

The previous prime is 420204749749. The next prime is 420204749791. The reversal of 420204749760 is 67947402024.

420204749760 is a `hidden beast` number, since 42 + 0 + 20 + 47 + 497 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26145247 + ... + 26161313.

Almost surely, 2^420204749760 is an apocalyptic number.

420204749760 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 420204749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748158376680).

420204749760 is an abundant number, since it is smaller than the sum of its proper divisors (1076112003600).

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

420204749760 is a wasteful number, since it uses less digits than its factorization.

420204749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17105 (or 17086 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 420204749760 in words is "four hundred twenty billion, two hundred four million, seven hundred forty-nine thousand, seven hundred sixty".