10240201132040 has 128 divisors (see below), whose sum is σ = 25244198622720. Its totient is φ = 3707572915200.

The previous prime is 10240201132001. The next prime is 10240201132067. The reversal of 10240201132040 is 4023110204201.

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

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, 93860402 + ... + 93969438.

It is an arithmetic number, because the mean of its divisors is an integer number (197220301740).

Almost surely, 2^{10240201132040} is an apocalyptic number.

10240201132040 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 10240201132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622099311360).

10240201132040 is an abundant number, since it is smaller than the sum of its proper divisors (15003997490680).

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

10240201132040 is a wasteful number, since it uses less digits than its factorization.

10240201132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109983 (or 109979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10240201132040 its reverse (4023110204201), we get a palindrome (14263311336241).

The spelling of 10240201132040 in words is "ten trillion, two hundred forty billion, two hundred one million, one hundred thirty-two thousand, forty".