420642141696000 has 1872 divisors, whose sum is σ = 1777951114767360. Its totient is φ = 95383211212800.

The previous prime is 420642141695983. The next prime is 420642141696019. The reversal of 420642141696000 is 696141246024.

420642141696000 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 4 + 21 + 4 + 16 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×420642141696000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28675576666 + ... + 28675591334.

It is an arithmetic number, because the mean of its divisors is an integer number (949760210880).

Almost surely, 2^{420642141696000} is an apocalyptic number.

420642141696000 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 420642141696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888975557383680).

420642141696000 is an abundant number, since it is smaller than the sum of its proper divisors (1357308973071360).

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

420642141696000 is a wasteful number, since it uses less digits than its factorization.

420642141696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 420642141696000 in words is "four hundred twenty trillion, six hundred forty-two billion, one hundred forty-one million, six hundred ninety-six thousand".