420673271040 has 288 divisors, whose sum is σ = 1628516937600. Its totient is φ = 101981306880.

The previous prime is 420673271033. The next prime is 420673271071. The reversal of 420673271040 is 40172376024.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×420673271040³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420673270986 and 420673271004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173125 + ... + 933444.

It is an arithmetic number, because the mean of its divisors is an integer number (5654572700).

Almost surely, 2^420673271040 is an apocalyptic number.

420673271040 is a gapful number since it is divisible by the number (40) 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 420673271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814258468800).

420673271040 is an abundant number, since it is smaller than the sum of its proper divisors (1207843666560).

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

420673271040 is a wasteful number, since it uses less digits than its factorization.

420673271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106610 (or 1106590 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 420673271040 in words is "four hundred twenty billion, six hundred seventy-three million, two hundred seventy-one thousand, forty".