4749013463040 has 2496 divisors, whose sum is σ = 22566081807360. Its totient is φ = 928760463360.

The previous prime is 4749013463017. The next prime is 4749013463069. The reversal of 4749013463040 is 403643109474.

4749013463040 is a `hidden beast` number, since 4 + 7 + 4 + 9 + 0 + 1 + 3 + 4 + 630 + 4 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 279353733112 + ... + 279353733128.

It is an arithmetic number, because the mean of its divisors is an integer number (9040898160).

Almost surely, 2^{4749013463040} is an apocalyptic number.

4749013463040 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 4749013463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11283040903680).

4749013463040 is an abundant number, since it is smaller than the sum of its proper divisors (17817068344320).

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

4749013463040 is an frugal number, since it uses more digits than its factorization.

4749013463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4749013463040 in words is "four trillion, seven hundred forty-nine billion, thirteen million, four hundred sixty-three thousand, forty".