420025786532352 has 3840 divisors, whose sum is σ = 1764415550177280. Its totient is φ = 92587003084800.

The previous prime is 420025786532281. The next prime is 420025786532357. The reversal of 420025786532352 is 253235687520024.

420025786532352 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 2 + 5 + 78 + 6 + 532 + 35 + 2 = 666.

It is a super-2 number, since 2×420025786532352² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420025786532357) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 855449666827 + ... + 855449667317.

It is an arithmetic number, because the mean of its divisors is an integer number (459483216192).

Almost surely, 2^{420025786532352} is an apocalyptic number.

420025786532352 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 420025786532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882207775088640).

420025786532352 is an abundant number, since it is smaller than the sum of its proper divisors (1344389763644928).

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

420025786532352 is a wasteful number, since it uses less digits than its factorization.

420025786532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 420025786532352 in words is "four hundred twenty trillion, twenty-five billion, seven hundred eighty-six million, five hundred thirty-two thousand, three hundred fifty-two".