4010501040000 has 1920 divisors, whose sum is σ = 17151260464800. Its totient is φ = 822140928000.

The previous prime is 4010501039983. The next prime is 4010501040103. The reversal of 4010501040000 is 401050104.

4010501040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5656559646 + ... + 5656560354.

Almost surely, 2^{4010501040000} is an apocalyptic number.

4010501040000 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 4010501040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575630232400).

4010501040000 is an abundant number, since it is smaller than the sum of its proper divisors (13140759424800).

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

4010501040000 is a wasteful number, since it uses less digits than its factorization.

4010501040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 4010501040000 its reverse (401050104), we get a palindrome (4010902090104).

4010501040000 divided by its reverse (401050104) gives a 4-th power (10000 = 10⁴).

The spelling of 4010501040000 in words is "four trillion, ten billion, five hundred one million, forty thousand".