40210103033120 has 96 divisors (see below), whose sum is σ = 97322645218176. Its totient is φ = 15690249164800.

The previous prime is 40210103033119. The next prime is 40210103033153. The reversal of 40210103033120 is 2133030101204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40210103033092 and 40210103033101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69688205 + ... + 70262835.

It is an arithmetic number, because the mean of its divisors is an integer number (1013777554356).

Almost surely, 2^{40210103033120} is an apocalyptic number.

40210103033120 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 40210103033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48661322609088).

40210103033120 is an abundant number, since it is smaller than the sum of its proper divisors (57112542185056).

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

40210103033120 is a wasteful number, since it uses less digits than its factorization.

40210103033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585354 (or 585346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 40210103033120 its reverse (2133030101204), we get a palindrome (42343133134324).

The spelling of 40210103033120 in words is "forty trillion, two hundred ten billion, one hundred three million, thirty-three thousand, one hundred twenty".