4034903906880 has 3360 divisors, whose sum is σ = 20130720825600. Its totient is φ = 746257121280.

The previous prime is 4034903906843. The next prime is 4034903906903. The reversal of 4034903906880 is 886093094304.

It is a happy number.

4034903906880 is a `hidden beast` number, since 4 + 0 + 3 + 490 + 3 + 90 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×4034903906880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7091219236 + ... + 7091219804.

It is an arithmetic number, because the mean of its divisors is an integer number (5991285960).

Almost surely, 2^{4034903906880} is an apocalyptic number.

4034903906880 is a gapful number since it is divisible by the number (40) 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 4034903906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065360412800).

4034903906880 is an abundant number, since it is smaller than the sum of its proper divisors (16095816918720).

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

4034903906880 is a wasteful number, since it uses less digits than its factorization.

4034903906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4034903906880 in words is "four trillion, thirty-four billion, nine hundred three million, nine hundred six thousand, eight hundred eighty".