4913725440 has 256 divisors, whose sum is σ = 16955215200. Its totient is φ = 1207959552.

The previous prime is 4913725423. The next prime is 4913725457. The reversal of 4913725440 is 445273194.

4913725440 = T₃₃₀₄₀ + T₃₃₀₄₁ + ... + T₃₃₀₄₈.

It is an interprime number because it is at equal distance from previous prime (4913725423) and next prime (4913725457).

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6389376 + ... + 6390144.

Almost surely, 2^4913725440 is an apocalyptic number.

4913725440 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 4913725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477607600).

4913725440 is an abundant number, since it is smaller than the sum of its proper divisors (12041489760).

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

4913725440 is an equidigital number, since it uses as much as digits as its factorization.

4913725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4913725440 is about 70097.9702987184. The cubic root of 4913725440 is about 1700.0836683157.

The spelling of 4913725440 in words is "four billion, nine hundred thirteen million, seven hundred twenty-five thousand, four hundred forty".