4905033840 has 320 divisors, whose sum is σ = 19384473600. Its totient is φ = 1116758016.

The previous prime is 4905033839. The next prime is 4905033907. The reversal of 4905033840 is 483305094.

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

It is a junction number, because it is equal to n+sod(n) for n = 4905033795 and 4905033804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5336901 + ... + 5337819.

It is an arithmetic number, because the mean of its divisors is an integer number (60576480).

Almost surely, 2^4905033840 is an apocalyptic number.

4905033840 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 4905033840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9692236800).

4905033840 is an abundant number, since it is smaller than the sum of its proper divisors (14479439760).

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

4905033840 is a wasteful number, since it uses less digits than its factorization.

4905033840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4905033840 is about 70035.9467702122. The cubic root of 4905033840 is about 1699.0806840315.

The spelling of 4905033840 in words is "four billion, nine hundred five million, thirty-three thousand, eight hundred forty".