4046747040 has 288 divisors, whose sum is σ = 16367944320. Its totient is φ = 924908544.

The previous prime is 4046747009. The next prime is 4046747041. The reversal of 4046747040 is 407476404.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4046746986 and 4046747004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4046747041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264726 + ... + 279594.

It is an arithmetic number, because the mean of its divisors is an integer number (56833140).

Almost surely, 2^4046747040 is an apocalyptic number.

4046747040 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 4046747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183972160).

4046747040 is an abundant number, since it is smaller than the sum of its proper divisors (12321197280).

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

4046747040 is a wasteful number, since it uses less digits than its factorization.

4046747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14906 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4046747040 is about 63614.0475052484. The cubic root of 4046747040 is about 1593.5609757827.

The spelling of 4046747040 in words is "four billion, forty-six million, seven hundred forty-seven thousand, forty".