420102588310452 has 144 divisors (see below), whose sum is σ = 1068978909608064. Its totient is φ = 139107755808000.

The previous prime is 420102588310387. The next prime is 420102588310501. The reversal of 420102588310452 is 254013885201024.

420102588310452 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 0 + 2 + 588 + 3 + 10 + 4 + 52 = 666.

It is a super-2 number, since 2×420102588310452² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420102588310398 and 420102588310407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5047994202 + ... + 5048077422.

It is an arithmetic number, because the mean of its divisors is an integer number (7423464650056).

Almost surely, 2^{420102588310452} is an apocalyptic number.

It is an amenable number.

420102588310452 is an abundant number, since it is smaller than the sum of its proper divisors (648876321297612).

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

420102588310452 is a wasteful number, since it uses less digits than its factorization.

420102588310452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85030 (or 85025 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 420102588310452 in words is "four hundred twenty trillion, one hundred two billion, five hundred eighty-eight million, three hundred ten thousand, four hundred fifty-two".