4978067040 has 144 divisors (see below), whose sum is σ = 17349329088. Its totient is φ = 1299222528.

The previous prime is 4978067033. The next prime is 4978067047. The reversal of 4978067040 is 407608794.

It is an interprime number because it is at equal distance from previous prime (4978067033) and next prime (4978067047).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978067047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30904 + ... + 104456.

It is an arithmetic number, because the mean of its divisors is an integer number (120481452).

Almost surely, 2^4978067040 is an apocalyptic number.

4978067040 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 4978067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674664544).

4978067040 is an abundant number, since it is smaller than the sum of its proper divisors (12371262048).

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

4978067040 is a wasteful number, since it uses less digits than its factorization.

4978067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73621 (or 73610 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4978067040 is about 70555.4182185890. The cubic root of 4978067040 is about 1707.4719595071.

The spelling of 4978067040 in words is "four billion, nine hundred seventy-eight million, sixty-seven thousand, forty".