420905189376 has 1024 divisors, whose sum is σ = 1551868800000. Its totient is φ = 112368549888.

The previous prime is 420905189371. The next prime is 420905189377. The reversal of 420905189376 is 673981509024.

420905189376 is a `hidden beast` number, since 4 + 2 + 0 + 90 + 5 + 189 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×420905189376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420905189371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5765824476 + ... + 5765824548.

It is an arithmetic number, because the mean of its divisors is an integer number (1515496875).

It is a 1-persistent number, because it is pandigital, but 2⋅420905189376 = 841810378752 is not.

Almost surely, 2^420905189376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420905189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775934400000).

420905189376 is an abundant number, since it is smaller than the sum of its proper divisors (1130963610624).

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

420905189376 is an frugal number, since it uses more digits than its factorization.

420905189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 420905189376 in words is "four hundred twenty billion, nine hundred five million, one hundred eighty-nine thousand, three hundred seventy-six".