4915801440 has 768 divisors, whose sum is σ = 20065812480. Its totient is φ = 1112832000.

The previous prime is 4915801439. The next prime is 4915801483. The reversal of 4915801440 is 441085194.

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 = 4915801395 and 4915801404.

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 127 ways as a sum of consecutive naturals, for example, 69236605 + ... + 69236675.

It is an arithmetic number, because the mean of its divisors is an integer number (26127360).

Almost surely, 2^4915801440 is an apocalyptic number.

4915801440 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 4915801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032906240).

4915801440 is an abundant number, since it is smaller than the sum of its proper divisors (15150011040).

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

4915801440 is a wasteful number, since it uses less digits than its factorization.

4915801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4915801440 is about 70112.7765817329. The cubic root of 4915801440 is about 1700.3230574048.

The spelling of 4915801440 in words is "four billion, nine hundred fifteen million, eight hundred one thousand, four hundred forty".