4973418240 has 288 divisors, whose sum is σ = 18500783616. Its totient is φ = 1115013120.

The previous prime is 4973418217. The next prime is 4973418277. The reversal of 4973418240 is 428143794.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 = 4973418192 and 4973418201.

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 31 ways as a sum of consecutive naturals, for example, 1422895 + ... + 1426385.

It is an arithmetic number, because the mean of its divisors is an integer number (64238832).

Almost surely, 2^4973418240 is an apocalyptic number.

4973418240 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 4973418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250391808).

4973418240 is an abundant number, since it is smaller than the sum of its proper divisors (13527365376).

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

4973418240 is a wasteful number, since it uses less digits than its factorization.

4973418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4973418240 is about 70522.4662075852. The cubic root of 4973418240 is about 1706.9402827369.

The spelling of 4973418240 in words is "four billion, nine hundred seventy-three million, four hundred eighteen thousand, two hundred forty".