4074956385120 has 168 divisors, whose sum is σ = 14434024164336. Its totient is φ = 1086655004928.

The previous prime is 4074956385119. The next prime is 4074956385161. The reversal of 4074956385120 is 215836594704.

It is a happy number.

4074956385120 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 9 + 563 + 8 + 51 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17351452 + ... + 17584731.

It is an arithmetic number, because the mean of its divisors is an integer number (85916810502).

It is a 1-persistent number, because it is pandigital, but 2⋅4074956385120 = 8149912770240 is not.

Almost surely, 2^{4074956385120} is an apocalyptic number.

4074956385120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4074956385120 is an abundant number, since it is smaller than the sum of its proper divisors (10359067779216).

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

4074956385120 is an equidigital number, since it uses as much as digits as its factorization.

4074956385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34936216 (or 34936193 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4074956385120 in words is "four trillion, seventy-four billion, nine hundred fifty-six million, three hundred eighty-five thousand, one hundred twenty".