4375777140 has 480 divisors, whose sum is σ = 17251153920. Its totient is φ = 905313024.

The previous prime is 4375777099. The next prime is 4375777151. The reversal of 4375777140 is 417775734.

It is a happy number.

4375777140 is a `hidden beast` number, since 4 + 3 + 7 + 577 + 71 + 4 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 4955139 + ... + 4956021.

It is an arithmetic number, because the mean of its divisors is an integer number (35939904).

Almost surely, 2^4375777140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4375777140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625576960).

4375777140 is an abundant number, since it is smaller than the sum of its proper divisors (12875376780).

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

4375777140 is a wasteful number, since it uses less digits than its factorization.

4375777140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 4375777140 is about 66149.6571419686. The cubic root of 4375777140 is about 1635.6299903693.

The spelling of 4375777140 in words is "four billion, three hundred seventy-five million, seven hundred seventy-seven thousand, one hundred forty".