34421210040 has 128 divisors (see below), whose sum is σ = 118110712320. Its totient is φ = 7861363200.

The previous prime is 34421210039. The next prime is 34421210081. The reversal of 34421210040 is 4001212443.

34421210040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34421209989 and 34421210016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068570 + ... + 1100310.

It is an arithmetic number, because the mean of its divisors is an integer number (922739940).

Almost surely, 2^34421210040 is an apocalyptic number.

34421210040 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 34421210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59055356160).

34421210040 is an abundant number, since it is smaller than the sum of its proper divisors (83689502280).

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

34421210040 is a wasteful number, since it uses less digits than its factorization.

34421210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33053 (or 33049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34421210040 its reverse (4001212443), we get a palindrome (38422422483).

The spelling of 34421210040 in words is "thirty-four billion, four hundred twenty-one million, two hundred ten thousand, forty".