420239714463648 has 480 divisors, whose sum is σ = 1352273239392768. Its totient is φ = 127450456473600.

The previous prime is 420239714463629. The next prime is 420239714463677. The reversal of 420239714463648 is 846364417932024.

420239714463648 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 397 + 144 + 63 + 6 + 48 = 666.

It is a super-2 number, since 2×420239714463648² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1279762843 + ... + 1280091173.

Almost surely, 2^{420239714463648} is an apocalyptic number.

420239714463648 is a gapful number since it is divisible by the number (48) 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 420239714463648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676136619696384).

420239714463648 is an abundant number, since it is smaller than the sum of its proper divisors (932033524929120).

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

420239714463648 is a wasteful number, since it uses less digits than its factorization.

420239714463648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329338 (or 329321 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 420239714463648 in words is "four hundred twenty trillion, two hundred thirty-nine billion, seven hundred fourteen million, four hundred sixty-three thousand, six hundred forty-eight".