34441433400420 has 192 divisors, whose sum is σ = 108685505859840. Its totient is φ = 9053018182656.

The previous prime is 34441433400419. The next prime is 34441433400449. The reversal of 34441433400420 is 2400433414443.

34441433400420 is a `hidden beast` number, since 3 + 444 + 143 + 34 + 0 + 0 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 64263679 + ... + 64797401.

It is an arithmetic number, because the mean of its divisors is an integer number (566070343020).

Almost surely, 2^{34441433400420} is an apocalyptic number.

34441433400420 is a gapful number since it is divisible by the number (30) 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 34441433400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54342752929920).

34441433400420 is an abundant number, since it is smaller than the sum of its proper divisors (74244072459420).

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

34441433400420 is a wasteful number, since it uses less digits than its factorization.

34441433400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535451 (or 535443 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34441433400420 its reverse (2400433414443), we get a palindrome (36841866814863).

The spelling of 34441433400420 in words is "thirty-four trillion, four hundred forty-one billion, four hundred thirty-three million, four hundred thousand, four hundred twenty".