420857404128 has 96 divisors (see below), whose sum is σ = 1402858033920. Its totient is φ = 120244970880.

The previous prime is 420857404117. The next prime is 420857404139. The reversal of 420857404128 is 821404758024.

420857404128 is a `hidden beast` number, since 42 + 0 + 85 + 7 + 404 + 128 = 666.

420857404128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (420857404117) and next prime (420857404139).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×420857404128² (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 34787058 + ... + 34799153.

It is an arithmetic number, because the mean of its divisors is an integer number (14613104520).

Almost surely, 2^420857404128 is an apocalyptic number.

420857404128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420857404128 is an abundant number, since it is smaller than the sum of its proper divisors (982000629792).

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

420857404128 is a wasteful number, since it uses less digits than its factorization.

420857404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69586237 (or 69586223 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 420857404128 in words is "four hundred twenty billion, eight hundred fifty-seven million, four hundred four thousand, one hundred twenty-eight".