4796029440 has 400 divisors, whose sum is σ = 17423695080. Its totient is φ = 1260748800.

The previous prime is 4796029439. The next prime is 4796029501. The reversal of 4796029440 is 449206974.

It can be written as a sum of positive squares in 4 ways, for example, as 4757688576 + 38340864 = 68976^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20943246 + ... + 20943474.

Almost surely, 2^4796029440 is an apocalyptic number.

4796029440 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 4796029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711847540).

4796029440 is an abundant number, since it is smaller than the sum of its proper divisors (12627665640).

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

4796029440 is a wasteful number, since it uses less digits than its factorization.

4796029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4796029440 is about 69253.3713258784. The cubic root of 4796029440 is about 1686.4000772936.

The spelling of 4796029440 in words is "four billion, seven hundred ninety-six million, twenty-nine thousand, four hundred forty".