10040201041410 has 128 divisors (see below), whose sum is σ = 26932311544320. Its totient is φ = 2661546988800.

The previous prime is 10040201041399. The next prime is 10040201041427. The reversal of 10040201041410 is 1414010204001.

10040201041410 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 201 + 0 + 414 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646038240 + ... + 646053780.

It is an arithmetic number, because the mean of its divisors is an integer number (210408683940).

Almost surely, 2^{10040201041410} is an apocalyptic number.

10040201041410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040201041410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466155772160).

10040201041410 is an abundant number, since it is smaller than the sum of its proper divisors (16892110502910).

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

10040201041410 is a wasteful number, since it uses less digits than its factorization.

10040201041410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29561 (or 29555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10040201041410 its reverse (1414010204001), we get a palindrome (11454211245411).

The spelling of 10040201041410 in words is "ten trillion, forty billion, two hundred one million, forty-one thousand, four hundred ten".