420814233901152 has 576 divisors, whose sum is σ = 1485199881285120. Its totient is φ = 110054622412800.

The previous prime is 420814233901151. The next prime is 420814233901213. The reversal of 420814233901152 is 251109332418024.

420814233901152 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 142 + 3 + 390 + 115 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 420814233901098 and 420814233901107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420814233901151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4672605499 + ... + 4672695557.

It is an arithmetic number, because the mean of its divisors is an integer number (2578472016120).

Almost surely, 2^{420814233901152} is an apocalyptic number.

420814233901152 is a gapful number since it is divisible by the number (42) 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 420814233901152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742599940642560).

420814233901152 is an abundant number, since it is smaller than the sum of its proper divisors (1064385647383968).

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

420814233901152 is a wasteful number, since it uses less digits than its factorization.

420814233901152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91587 (or 91576 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 420814233901152 in words is "four hundred twenty trillion, eight hundred fourteen billion, two hundred thirty-three million, nine hundred one thousand, one hundred fifty-two".