4095279372240 has 480 divisors, whose sum is σ = 16646296283136. Its totient is φ = 882000092160.

The previous prime is 4095279372167. The next prime is 4095279372281. The reversal of 4095279372240 is 422739725904.

It is a happy number.

4095279372240 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 27 + 9 + 372 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7502995 + ... + 8030285.

Almost surely, 2^{4095279372240} is an apocalyptic number.

4095279372240 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 4095279372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323148141568).

4095279372240 is an abundant number, since it is smaller than the sum of its proper divisors (12551016910896).

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

4095279372240 is a wasteful number, since it uses less digits than its factorization.

4095279372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527407 (or 527398 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4095279372240 in words is "four trillion, ninety-five billion, two hundred seventy-nine million, three hundred seventy-two thousand, two hundred forty".