4277940480 has 720 divisors, whose sum is σ = 17379952128. Its totient is φ = 1003622400.

The previous prime is 4277940467. The next prime is 4277940523. The reversal of 4277940480 is 840497724.

4277940480 is digitally balanced in base 2, because in such base 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137998065 + ... + 137998095.

Almost surely, 2^4277940480 is an apocalyptic number.

4277940480 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 4277940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689976064).

4277940480 is an abundant number, since it is smaller than the sum of its proper divisors (13102011648).

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

4277940480 is an equidigital number, since it uses as much as digits as its factorization.

4277940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4277940480 is about 65405.9667002942. The cubic root of 4277940480 is about 1623.3478093326.

The spelling of 4277940480 in words is "four billion, two hundred seventy-seven million, nine hundred forty thousand, four hundred eighty".