420319347840 has 1536 divisors, whose sum is σ = 1838928199680. Its totient is φ = 86261760000.

The previous prime is 420319347817. The next prime is 420319347853. The reversal of 420319347840 is 48743913024.

420319347840 is a `hidden beast` number, since 4 + 20 + 31 + 93 + 478 + 40 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2783571765 + ... + 2783571915.

It is an arithmetic number, because the mean of its divisors is an integer number (1197218880).

Almost surely, 2^420319347840 is an apocalyptic number.

420319347840 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 420319347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919464099840).

420319347840 is an abundant number, since it is smaller than the sum of its proper divisors (1418608851840).

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

420319347840 is a wasteful number, since it uses less digits than its factorization.

420319347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 420319347840 in words is "four hundred twenty billion, three hundred nineteen million, three hundred forty-seven thousand, eight hundred forty".