420878123280 has 320 divisors, whose sum is σ = 1487017324800. Its totient is φ = 109351710720.

The previous prime is 420878123279. The next prime is 420878123371. The reversal of 420878123280 is 82321878024.

420878123280 is a `hidden beast` number, since 420 + 87 + 8 + 123 + 28 + 0 = 666.

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

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, 77664411 + ... + 77669829.

It is an arithmetic number, because the mean of its divisors is an integer number (4646929140).

Almost surely, 2^420878123280 is an apocalyptic number.

420878123280 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 420878123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743508662400).

420878123280 is an abundant number, since it is smaller than the sum of its proper divisors (1066139201520).

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

420878123280 is a wasteful number, since it uses less digits than its factorization.

420878123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 420878123280 in words is "four hundred twenty billion, eight hundred seventy-eight million, one hundred twenty-three thousand, two hundred eighty".