4200212401020 has 384 divisors, whose sum is σ = 14301100800000. Its totient is φ = 1019353724928.

The previous prime is 4200212400983. The next prime is 4200212401051. The reversal of 4200212401020 is 201042120024.

4200212401020 is a `hidden beast` number, since 420 + 0 + 2 + 1 + 240 + 1 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4200212400984 and 4200212401002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59174992 + ... + 59245928.

It is an arithmetic number, because the mean of its divisors is an integer number (37242450000).

Almost surely, 2^{4200212401020} 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 4200212401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150550400000).

4200212401020 is an abundant number, since it is smaller than the sum of its proper divisors (10100888398980).

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

4200212401020 is a wasteful number, since it uses less digits than its factorization.

4200212401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71202 (or 71194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4200212401020 its reverse (201042120024), we get a palindrome (4401254521044).

The spelling of 4200212401020 in words is "four trillion, two hundred billion, two hundred twelve million, four hundred one thousand, twenty".