4009464424746 has 512 divisors, whose sum is σ = 10333694361600. Its totient is φ = 1151280345600.

The previous prime is 4009464424741. The next prime is 4009464424747. The reversal of 4009464424746 is 6474244649004.

It is a happy number.

4009464424746 is a `hidden beast` number, since 4 + 0 + 0 + 94 + 64 + 424 + 74 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4009464424692 and 4009464424701.

It is not an unprimeable number, because it can be changed into a prime (4009464424741) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17508578160 + ... + 17508578388.

It is an arithmetic number, because the mean of its divisors is an integer number (20182996800).

Almost surely, 2^{4009464424746} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009464424746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166847180800).

4009464424746 is an abundant number, since it is smaller than the sum of its proper divisors (6324229936854).

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

4009464424746 is a wasteful number, since it uses less digits than its factorization.

4009464424746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 4009464424746 in words is "four trillion, nine billion, four hundred sixty-four million, four hundred twenty-four thousand, seven hundred forty-six".