4001153405400 has 144 divisors (see below), whose sum is σ = 13450373860560. Its totient is φ = 1065928723200.

The previous prime is 4001153405369. The next prime is 4001153405413. The reversal of 4001153405400 is 45043511004.

It is a happy number.

4001153405400 is a `hidden beast` number, since 4 + 0 + 0 + 115 + 3 + 4 + 0 + 540 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749229 + ... + 2926371.

Almost surely, 2^{4001153405400} is an apocalyptic number.

4001153405400 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 4001153405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725186930280).

4001153405400 is an abundant number, since it is smaller than the sum of its proper divisors (9449220455160).

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

4001153405400 is a wasteful number, since it uses less digits than its factorization.

4001153405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178186 (or 2178174 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 4001153405400 its reverse (45043511004), we get a palindrome (4046196916404).

The spelling of 4001153405400 in words is "four trillion, one billion, one hundred fifty-three million, four hundred five thousand, four hundred".