4039746480 has 640 divisors, whose sum is σ = 17587445760. Its totient is φ = 827919360.

The previous prime is 4039746479. The next prime is 4039746509. The reversal of 4039746480 is 846479304.

4039746480 is a `hidden beast` number, since 40 + 3 + 97 + 46 + 480 = 666.

It is a Cunningham number, because it is equal to 63559²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17796127 + ... + 17796353.

It is an arithmetic number, because the mean of its divisors is an integer number (27480384).

Almost surely, 2^4039746480 is an apocalyptic number.

4039746480 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 4039746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793722880).

4039746480 is an abundant number, since it is smaller than the sum of its proper divisors (13547699280).

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

4039746480 is a wasteful number, since it uses less digits than its factorization.

4039746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4039746480 is about 63558.9999921333. Note that the first 5 decimals coincide. The cubic root of 4039746480 is about 1592.6415328980.

The spelling of 4039746480 in words is "four billion, thirty-nine million, seven hundred forty-six thousand, four hundred eighty".