34021100040000 has 280 divisors, whose sum is σ = 116110149458688. Its totient is φ = 8779637760000.

The previous prime is 34021100039999. The next prime is 34021100040019. The reversal of 34021100040000 is 4000112043.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 852729 + ... + 8292728.

Almost surely, 2^{34021100040000} is an apocalyptic number.

34021100040000 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 34021100040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58055074729344).

34021100040000 is an abundant number, since it is smaller than the sum of its proper divisors (82089049418688).

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

34021100040000 is an equidigital number, since it uses as much as digits as its factorization.

34021100040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145523 (or 9145498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 34021100040000 its reverse (4000112043), we get a palindrome (34025100152043).

The spelling of 34021100040000 in words is "thirty-four trillion, twenty-one billion, one hundred million, forty thousand".