4039918122240 has 2304 divisors, whose sum is σ = 19390384742400. Its totient is φ = 773767987200.

The previous prime is 4039918122209. The next prime is 4039918122287. The reversal of 4039918122240 is 422218199304.

4039918122240 is a `hidden beast` number, since 4 + 0 + 399 + 1 + 8 + 12 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 5846480295 + ... + 5846480985.

It is an arithmetic number, because the mean of its divisors is an integer number (8415965600).

Almost surely, 2^{4039918122240} is an apocalyptic number.

4039918122240 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 4039918122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695192371200).

4039918122240 is an abundant number, since it is smaller than the sum of its proper divisors (15350466620160).

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

4039918122240 is a wasteful number, since it uses less digits than its factorization.

4039918122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4039918122240 in words is "four trillion, thirty-nine billion, nine hundred eighteen million, one hundred twenty-two thousand, two hundred forty".