4117028855940 has 3072 divisors, whose sum is σ = 18885242880000. Its totient is φ = 740710656000.

The previous prime is 4117028855899. The next prime is 4117028855971. The reversal of 4117028855940 is 495588207114.

4117028855940 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 0 + 2 + 88 + 559 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 40762661890 + ... + 40762661990.

It is an arithmetic number, because the mean of its divisors is an integer number (6147540000).

Almost surely, 2^{4117028855940} 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 4117028855940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442621440000).

4117028855940 is an abundant number, since it is smaller than the sum of its proper divisors (14768214024060).

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

4117028855940 is a wasteful number, since it uses less digits than its factorization.

4117028855940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 4117028855940 in words is "four trillion, one hundred seventeen billion, twenty-eight million, eight hundred fifty-five thousand, nine hundred forty".