420609361920 has 768 divisors, whose sum is σ = 1524374691840. Its totient is φ = 98127052800.

The previous prime is 420609361919. The next prime is 420609361969. The reversal of 420609361920 is 29163906024.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127638854 + ... + 1127639226.

It is an arithmetic number, because the mean of its divisors is an integer number (1984862880).

Almost surely, 2^420609361920 is an apocalyptic number.

420609361920 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 420609361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762187345920).

420609361920 is an abundant number, since it is smaller than the sum of its proper divisors (1103765329920).

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

420609361920 is a wasteful number, since it uses less digits than its factorization.

420609361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 420609361920 in words is "four hundred twenty billion, six hundred nine million, three hundred sixty-one thousand, nine hundred twenty".