601421420516400 has 360 divisors, whose sum is σ = 2350282016609280. Its totient is φ = 141095934144000.

The previous prime is 601421420516377. The next prime is 601421420516417. The reversal of 601421420516400 is 4615024124106.

601421420516400 is a `hidden beast` number, since 6 + 0 + 1 + 4 + 2 + 1 + 4 + 2 + 0 + 5 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243730620 + ... + 246185819.

It is an arithmetic number, because the mean of its divisors is an integer number (6528561157248).

Almost surely, 2^{601421420516400} is an apocalyptic number.

601421420516400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601421420516400 is an abundant number, since it is smaller than the sum of its proper divisors (1748860596092880).

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

601421420516400 is a wasteful number, since it uses less digits than its factorization.

601421420516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489916505 (or 489916491 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 601421420516400 in words is "six hundred one trillion, four hundred twenty-one billion, four hundred twenty million, five hundred sixteen thousand, four hundred".