4140284901120 has 216 divisors, whose sum is σ = 14595238790496. Its totient is φ = 1083244191744.

The previous prime is 4140284901091. The next prime is 4140284901121. The reversal of 4140284901120 is 211094820414.

4140284901120 is a `hidden beast` number, since 4 + 1 + 40 + 2 + 8 + 490 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140284901121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2780004 + ... + 4001123.

It is an arithmetic number, because the mean of its divisors is an integer number (67570549956).

Almost surely, 2^{4140284901120} is an apocalyptic number.

4140284901120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140284901120 is an abundant number, since it is smaller than the sum of its proper divisors (10454953889376).

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

4140284901120 is a wasteful number, since it uses less digits than its factorization.

4140284901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781207 (or 6781190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 4140284901120 in words is "four trillion, one hundred forty billion, two hundred eighty-four million, nine hundred one thousand, one hundred twenty".