4750381440 has 288 divisors, whose sum is σ = 19082943360. Its totient is φ = 1085736960.

The previous prime is 4750381439. The next prime is 4750381477. The reversal of 4750381440 is 441830574.

4750381440 is a `hidden beast` number, since 4 + 7 + 503 + 8 + 144 + 0 = 666.

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

It is a super-2 number, since 2×4750381440² = 45132247650992947200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4750381395 and 4750381404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273825 + ... + 290655.

It is an arithmetic number, because the mean of its divisors is an integer number (66260220).

Almost surely, 2^4750381440 is an apocalyptic number.

4750381440 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 4750381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541471680).

4750381440 is an abundant number, since it is smaller than the sum of its proper divisors (14332561920).

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

4750381440 is a wasteful number, since it uses less digits than its factorization.

4750381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4750381440 is about 68923.0109615069. The cubic root of 4750381440 is about 1681.0326984021.

The spelling of 4750381440 in words is "four billion, seven hundred fifty million, three hundred eighty-one thousand, four hundred forty".