4753881440 has 192 divisors, whose sum is σ = 14174092800. Its totient is φ = 1463562240.

The previous prime is 4753881427. The next prime is 4753881487. The reversal of 4753881440 is 441883574.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4753881391 and 4753881400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020236 + ... + 1024884.

It is an arithmetic number, because the mean of its divisors is an integer number (73823400).

Almost surely, 2^4753881440 is an apocalyptic number.

4753881440 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 4753881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087046400).

4753881440 is an abundant number, since it is smaller than the sum of its proper divisors (9420211360).

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

4753881440 is a wasteful number, since it uses less digits than its factorization.

4753881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 4753881440 is about 68948.3969356794. The cubic root of 4753881440 is about 1681.4454491203.

The spelling of 4753881440 in words is "four billion, seven hundred fifty-three million, eight hundred eighty-one thousand, four hundred forty".