1000034202420 has 288 divisors, whose sum is σ = 3421762606080. Its totient is φ = 234213120000.

The previous prime is 1000034202407. The next prime is 1000034202443. The reversal of 1000034202420 is 242024300001.

1000034202420 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 3 + 420 + 242 + 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 = 1000034202393 and 1000034202402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36875826 + ... + 36902934.

It is an arithmetic number, because the mean of its divisors is an integer number (11881120160).

Almost surely, 2^{1000034202420} is an apocalyptic number.

1000034202420 is a gapful number since it is divisible by the number (10) 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 1000034202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710881303040).

1000034202420 is an abundant number, since it is smaller than the sum of its proper divisors (2421728403660).

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

1000034202420 is a wasteful number, since it uses less digits than its factorization.

1000034202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27767 (or 27762 counting only the distinct ones).

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

Adding to 1000034202420 its reverse (242024300001), we get a palindrome (1242058502421).

The spelling of 1000034202420 in words is "one trillion, thirty-four million, two hundred two thousand, four hundred twenty".