120410200001040 has 160 divisors (see below), whose sum is σ = 374717499045120. Its totient is φ = 31985027340288.

The previous prime is 120410200000973. The next prime is 120410200001053. The reversal of 120410200001040 is 40100002014021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008156046 + ... + 1008275474.

It is an arithmetic number, because the mean of its divisors is an integer number (2341984369032).

Almost surely, 2^{120410200001040} is an apocalyptic number.

120410200001040 is a gapful number since it is divisible by the number (10) 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 120410200001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187358749522560).

120410200001040 is an abundant number, since it is smaller than the sum of its proper divisors (254307299044080).

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

120410200001040 is a wasteful number, since it uses less digits than its factorization.

120410200001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135681 (or 135675 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120410200001040 its reverse (40100002014021), we get a palindrome (160510202015061).

The spelling of 120410200001040 in words is "one hundred twenty trillion, four hundred ten billion, two hundred million, one thousand, forty".