4075278117120 has 864 divisors, whose sum is σ = 16815142536192. Its totient is φ = 925696843776.

The previous prime is 4075278117109. The next prime is 4075278117161. The reversal of 4075278117120 is 217118725704.

It is a happy number.

4075278117120 is a `hidden beast` number, since 4 + 0 + 7 + 527 + 8 + 117 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×4075278117120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 354890899 + ... + 354902381.

It is an arithmetic number, because the mean of its divisors is an integer number (19461970528).

Almost surely, 2^{4075278117120} is an apocalyptic number.

4075278117120 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 4075278117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407571268096).

4075278117120 is an abundant number, since it is smaller than the sum of its proper divisors (12739864419072).

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

4075278117120 is a wasteful number, since it uses less digits than its factorization.

4075278117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 4075278117120 in words is "four trillion, seventy-five billion, two hundred seventy-eight million, one hundred seventeen thousand, one hundred twenty".