4974435840 has 480 divisors, whose sum is σ = 17985911328. Its totient is φ = 1171456000.

The previous prime is 4974435827. The next prime is 4974435857. The reversal of 4974435840 is 485344794.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4974435840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49251790 + ... + 49251890.

Almost surely, 2^4974435840 is an apocalyptic number.

4974435840 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 4974435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992955664).

4974435840 is an abundant number, since it is smaller than the sum of its proper divisors (13011475488).

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

4974435840 is a wasteful number, since it uses less digits than its factorization.

4974435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 4974435840 is about 70529.6805607398. The cubic root of 4974435840 is about 1707.0566925443.

The spelling of 4974435840 in words is "four billion, nine hundred seventy-four million, four hundred thirty-five thousand, eight hundred forty".