4078481040 has 120 divisors (see below), whose sum is σ = 13715427960. Its totient is φ = 1086124032.

The previous prime is 4078480961. The next prime is 4078481063. The reversal of 4078481040 is 401848704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88284816 + 3990196224 = 9396^2 + 63168^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4078480986 and 4078481004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593464 + ... + 600296.

It is an arithmetic number, because the mean of its divisors is an integer number (114295233).

Almost surely, 2^4078481040 is an apocalyptic number.

4078481040 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 4078481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857713980).

4078481040 is an abundant number, since it is smaller than the sum of its proper divisors (9636946920).

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

4078481040 is a wasteful number, since it uses less digits than its factorization.

4078481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4078481040 is about 63862.9864632089. The cubic root of 4078481040 is about 1597.7156254895.

The spelling of 4078481040 in words is "four billion, seventy-eight million, four hundred eighty-one thousand, forty".