10000401321040 has 80 divisors (see below), whose sum is σ = 25046285716368. Its totient is φ = 3691450257408.

The previous prime is 10000401321037. The next prime is 10000401321041. The reversal of 10000401321040 is 4012310400001.

It can be written as a sum of positive squares in 8 ways, for example, as 970280160784 + 9030121160256 = 985028^2 + 3005016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000401321041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2516524 + ... + 5131636.

Almost surely, 2^{10000401321040} is an apocalyptic number.

10000401321040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000401321040 is an abundant number, since it is smaller than the sum of its proper divisors (15045884395328).

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

10000401321040 is a wasteful number, since it uses less digits than its factorization.

10000401321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618816 (or 2618810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10000401321040 its reverse (4012310400001), we get a palindrome (14012711721041).

The spelling of 10000401321040 in words is "ten trillion, four hundred one million, three hundred twenty-one thousand, forty".