4904269440 has 512 divisors, whose sum is σ = 18800640000. Its totient is φ = 1063895040.

The previous prime is 4904269393. The next prime is 4904269459. The reversal of 4904269440 is 449624094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4904269392 and 4904269401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32914486 + ... + 32914634.

It is an arithmetic number, because the mean of its divisors is an integer number (36720000).

Almost surely, 2^4904269440 is an apocalyptic number.

4904269440 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 4904269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400320000).

4904269440 is an abundant number, since it is smaller than the sum of its proper divisors (13896370560).

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

4904269440 is a wasteful number, since it uses less digits than its factorization.

4904269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4904269440 is about 70030.4893599923. The cubic root of 4904269440 is about 1698.9924179230.

The spelling of 4904269440 in words is "four billion, nine hundred four million, two hundred sixty-nine thousand, four hundred forty".