402430120020 has 192 divisors, whose sum is σ = 1307092308480. Its totient is φ = 102597580800.

The previous prime is 402430120009. The next prime is 402430120031. The reversal of 402430120020 is 20021034204.

402430120020 is a `hidden beast` number, since 402 + 43 + 0 + 1 + 200 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (402430120009) and next prime (402430120031).

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 = 402430119975 and 402430120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29068300 + ... + 29082140.

It is an arithmetic number, because the mean of its divisors is an integer number (6807772440).

Almost surely, 2^402430120020 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 402430120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653546154240).

402430120020 is an abundant number, since it is smaller than the sum of its proper divisors (904662188460).

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

402430120020 is a wasteful number, since it uses less digits than its factorization.

402430120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 402430120020 its reverse (20021034204), we get a palindrome (422451154224).

The spelling of 402430120020 in words is "four hundred two billion, four hundred thirty million, one hundred twenty thousand, twenty".