4010001020400 has 120 divisors (see below), whose sum is σ = 12972552207984. Its totient is φ = 1058746112000.

The previous prime is 4010001020393. The next prime is 4010001020407. The reversal of 4010001020400 is 40201000104.

It is an interprime number because it is at equal distance from previous prime (4010001020393) and next prime (4010001020407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010001020407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16421709 + ... + 16664108.

Almost surely, 2^{4010001020400} is an apocalyptic number.

4010001020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4010001020400 is an abundant number, since it is smaller than the sum of its proper divisors (8962551187584).

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

4010001020400 is a wasteful number, since it uses less digits than its factorization.

4010001020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33085939 (or 33085928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 4010001020400 its reverse (40201000104), we get a palindrome (4050202020504).

The spelling of 4010001020400 in words is "four trillion, ten billion, one million, twenty thousand, four hundred".