420755095761 has 192 divisors, whose sum is σ = 791209875456. Its totient is φ = 197017349760.

The previous prime is 420755095753. The next prime is 420755095763. The reversal of 420755095761 is 167590557024.

It is not a de Polignac number, because 420755095761 - 2³ = 420755095753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420755095763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109370340 + ... + 109374186.

It is an arithmetic number, because the mean of its divisors is an integer number (4120884768).

Almost surely, 2^420755095761 is an apocalyptic number.

It is an amenable number.

420755095761 is a deficient number, since it is larger than the sum of its proper divisors (370454779695).

420755095761 is a wasteful number, since it uses less digits than its factorization.

420755095761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 420755095761 in words is "four hundred twenty billion, seven hundred fifty-five million, ninety-five thousand, seven hundred sixty-one".