420522098688000 has 1680 divisors, whose sum is σ = 1584066264196416. Its totient is φ = 111451255603200.

The previous prime is 420522098687981. The next prime is 420522098688023. The reversal of 420522098688000 is 886890225024.

It is a happy number.

420522098688000 is a `hidden beast` number, since 4 + 20 + 522 + 0 + 98 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×420522098688000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2579890175919 + ... + 2579890176081.

Almost surely, 2^{420522098688000} is an apocalyptic number.

420522098688000 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 420522098688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792033132098208).

420522098688000 is an abundant number, since it is smaller than the sum of its proper divisors (1163544165508416).

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

420522098688000 is an frugal number, since it uses more digits than its factorization.

420522098688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 420522098688000 in words is "four hundred twenty trillion, five hundred twenty-two billion, ninety-eight million, six hundred eighty-eight thousand".