4001042032400 has 120 divisors (see below), whose sum is σ = 11563914118080. Its totient is φ = 1299586567680.

The previous prime is 4001042032307. The next prime is 4001042032409. The reversal of 4001042032400 is 42302401004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4001042032409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37550579 + ... + 37656978.

It is an arithmetic number, because the mean of its divisors is an integer number (96365950984).

Almost surely, 2^{4001042032400} is an apocalyptic number.

4001042032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001042032400 is an abundant number, since it is smaller than the sum of its proper divisors (7562872085680).

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

4001042032400 is a wasteful number, since it uses less digits than its factorization.

4001042032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75207601 (or 75207590 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4001042032400 its reverse (42302401004), we get a palindrome (4043344433404).

The spelling of 4001042032400 in words is "four trillion, one billion, forty-two million, thirty-two thousand, four hundred".