420821476782 has 96 divisors (see below), whose sum is σ = 1018642770432. Its totient is φ = 113516607168.

The previous prime is 420821476771. The next prime is 420821476793. The reversal of 420821476782 is 287674128024.

It is an interprime number because it is at equal distance from previous prime (420821476771) and next prime (420821476793).

It is a super-4 number, since 4×420821476782⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4395103 + ... + 4489829.

It is an arithmetic number, because the mean of its divisors is an integer number (10610862192).

Almost surely, 2^420821476782 is an apocalyptic number.

420821476782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420821476782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509321385216).

420821476782 is an abundant number, since it is smaller than the sum of its proper divisors (597821293650).

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

420821476782 is a wasteful number, since it uses less digits than its factorization.

420821476782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95070 (or 95051 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 420821476782 in words is "four hundred twenty billion, eight hundred twenty-one million, four hundred seventy-six thousand, seven hundred eighty-two".