420701129145024 has 224 divisors, whose sum is σ = 1429539624145920. Its totient is φ = 106130050633728.

The previous prime is 420701129145019. The next prime is 420701129145029. The reversal of 420701129145024 is 420541921107024.

It is an interprime number because it is at equal distance from previous prime (420701129145019) and next prime (420701129145029).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (420701129145029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523045759 + ... + 523849470.

It is an arithmetic number, because the mean of its divisors is an integer number (6381873322080).

Almost surely, 2^{420701129145024} is an apocalyptic number.

It is an amenable number.

420701129145024 is an abundant number, since it is smaller than the sum of its proper divisors (1008838495000896).

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

420701129145024 is a wasteful number, since it uses less digits than its factorization.

420701129145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046895287 (or 1046895277 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 420701129145024 in words is "four hundred twenty trillion, seven hundred one billion, one hundred twenty-nine million, one hundred forty-five thousand, twenty-four".