4935997440 has 480 divisors, whose sum is σ = 19336196880. Its totient is φ = 1194393600.

The previous prime is 4935997427. The next prime is 4935997453. The reversal of 4935997440 is 447995394.

4935997440 is a `hidden beast` number, since 4 + 9 + 3 + 599 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4935997427) and next prime (4935997453).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 9123570 + ... + 9124110.

Almost surely, 2^4935997440 is an apocalyptic number.

4935997440 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 4935997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668098440).

4935997440 is an abundant number, since it is smaller than the sum of its proper divisors (14400199440).

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

4935997440 is a wasteful number, since it uses less digits than its factorization.

4935997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 4935997440 is about 70256.6540620887. The cubic root of 4935997440 is about 1702.6484025191.

The spelling of 4935997440 in words is "four billion, nine hundred thirty-five million, nine hundred ninety-seven thousand, four hundred forty".