4740376417920 has 2048 divisors, whose sum is σ = 21438369792000. Its totient is φ = 972236390400.

The previous prime is 4740376417873. The next prime is 4740376418039. The reversal of 4740376417920 is 297146730474.

It is a happy number.

4740376417920 is a `hidden beast` number, since 4 + 7 + 403 + 7 + 64 + 179 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1455440932 + ... + 1455444188.

It is an arithmetic number, because the mean of its divisors is an integer number (10467954000).

Almost surely, 2^{4740376417920} is an apocalyptic number.

4740376417920 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 4740376417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719184896000).

4740376417920 is an abundant number, since it is smaller than the sum of its proper divisors (16697993374080).

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

4740376417920 is a wasteful number, since it uses less digits than its factorization.

4740376417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 4740376417920 in words is "four trillion, seven hundred forty billion, three hundred seventy-six million, four hundred seventeen thousand, nine hundred twenty".