420121680 has 480 divisors, whose sum is σ = 1624396032. Its totient is φ = 89210880.

The previous prime is 420121651. The next prime is 420121727. The reversal of 420121680 is 86121024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420121680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11354622 + ... + 11354658.

Almost surely, 2^420121680 is an apocalyptic number.

420121680 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 420121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812198016).

420121680 is an abundant number, since it is smaller than the sum of its proper divisors (1204274352).

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

420121680 is a wasteful number, since it uses less digits than its factorization.

420121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 420121680 is about 20496.8700049544. The cubic root of 420121680 is about 748.9595528493.

The spelling of 420121680 in words is "four hundred twenty million, one hundred twenty-one thousand, six hundred eighty".