420257117532096 has 1344 divisors, whose sum is σ = 1441893598279680. Its totient is φ = 115785471098880.

The previous prime is 420257117532059. The next prime is 420257117532113. The reversal of 420257117532096 is 690235711752024.

420257117532096 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 5 + 7 + 1 + 17 + 532 + 0 + 96 = 666.

It is a super-2 number, since 2×420257117532096² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194473445256 + ... + 194473447416.

It is an arithmetic number, because the mean of its divisors is an integer number (1072837498720).

Almost surely, 2^{420257117532096} is an apocalyptic number.

420257117532096 is a gapful number since it is divisible by the number (46) 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 420257117532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720946799139840).

420257117532096 is an abundant number, since it is smaller than the sum of its proper divisors (1021636480747584).

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

420257117532096 is a wasteful number, since it uses less digits than its factorization.

420257117532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 420257117532096 in words is "four hundred twenty trillion, two hundred fifty-seven billion, one hundred seventeen million, five hundred thirty-two thousand, ninety-six".