4195014480 has 120 divisors (see below), whose sum is σ = 14150871072. Its totient is φ = 1113699072.

The previous prime is 4195014479. The next prime is 4195014491. The reversal of 4195014480 is 844105914.

4195014480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150607 + ... + 176273.

Almost surely, 2^4195014480 is an apocalyptic number.

4195014480 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 4195014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7075435536).

4195014480 is an abundant number, since it is smaller than the sum of its proper divisors (9955856592).

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

4195014480 is a wasteful number, since it uses less digits than its factorization.

4195014480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25913 (or 25904 counting only the distinct ones).

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

The square root of 4195014480 is about 64768.9314409308. The cubic root of 4195014480 is about 1612.7899979597.

The spelling of 4195014480 in words is "four billion, one hundred ninety-five million, fourteen thousand, four hundred eighty".