4780131840 has 320 divisors, whose sum is σ = 18525957120. Its totient is φ = 1158635520.

The previous prime is 4780131833. The next prime is 4780131847. The reversal of 4780131840 is 481310874.

4780131840 is a `hidden beast` number, since 478 + 0 + 1 + 3 + 184 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4780131833) and next prime (4780131847).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 4780131795 and 4780131804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4780131847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757177 + ... + 763463.

It is an arithmetic number, because the mean of its divisors is an integer number (57893616).

Almost surely, 2^4780131840 is an apocalyptic number.

4780131840 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 4780131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262978560).

4780131840 is an abundant number, since it is smaller than the sum of its proper divisors (13745825280).

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

4780131840 is a wasteful number, since it uses less digits than its factorization.

4780131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4780131840 is about 69138.4975248956. The cubic root of 4780131840 is about 1684.5346876483.

The spelling of 4780131840 in words is "four billion, seven hundred eighty million, one hundred thirty-one thousand, eight hundred forty".