3501403040000 has 180 divisors, whose sum is σ = 8759665919004. Its totient is φ = 1396383744000.

The previous prime is 3501403039993. The next prime is 3501403040017. The reversal of 3501403040000 is 403041053.

It can be written as a sum of positive squares in 10 ways, for example, as 2381565005824 + 1119838034176 = 1543232^2 + 1058224^2 .

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 19 ways as a sum of consecutive naturals, for example, 53887532 + ... + 53952468.

Almost surely, 2^{3501403040000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3501403040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379832959502).

3501403040000 is an abundant number, since it is smaller than the sum of its proper divisors (5258262879004).

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

3501403040000 is an frugal number, since it uses more digits than its factorization.

3501403040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65310 (or 65281 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 3501403040000 its reverse (403041053), we get a palindrome (3501806081053).

The spelling of 3501403040000 in words is "three trillion, five hundred one billion, four hundred three million, forty thousand".