4374117540 has 144 divisors (see below), whose sum is σ = 14343966000. Its totient is φ = 1072548864.

The previous prime is 4374117491. The next prime is 4374117563. The reversal of 4374117540 is 457114734.

4374117540 is a `hidden beast` number, since 43 + 74 + 1 + 1 + 7 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 426257316 + 3947860224 = 20646^2 + 62832^2 .

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 = 4374117495 and 4374117504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625986 + ... + 632934.

It is an arithmetic number, because the mean of its divisors is an integer number (99610875).

Almost surely, 2^4374117540 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 4374117540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171983000).

4374117540 is an abundant number, since it is smaller than the sum of its proper divisors (9969848460).

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

4374117540 is a wasteful number, since it uses less digits than its factorization.

4374117540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4374117540 is about 66137.1116696216. Note that the first 3 decimals coincide. The cubic root of 4374117540 is about 1635.4231825504.

The spelling of 4374117540 in words is "four billion, three hundred seventy-four million, one hundred seventeen thousand, five hundred forty".