4049976840 has 384 divisors, whose sum is σ = 15381135360. Its totient is φ = 834941952.

The previous prime is 4049976823. The next prime is 4049976871. The reversal of 4049976840 is 486799404.

4049976840 = T₉₃₈₉ + T₉₃₉₀ + ... + T₉₄₇₉.

4049976840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6671817 + ... + 6672423.

It is an arithmetic number, because the mean of its divisors is an integer number (40055040).

Almost surely, 2^4049976840 is an apocalyptic number.

4049976840 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 4049976840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690567680).

4049976840 is an abundant number, since it is smaller than the sum of its proper divisors (11331158520).

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

4049976840 is a wasteful number, since it uses less digits than its factorization.

4049976840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 4049976840 is about 63639.4283443841. The cubic root of 4049976840 is about 1593.9848153518.

The spelling of 4049976840 in words is "four billion, forty-nine million, nine hundred seventy-six thousand, eight hundred forty".