10001040014400 has 168 divisors, whose sum is σ = 32910879815904. Its totient is φ = 2658886348800.

The previous prime is 10001040014323. The next prime is 10001040014401. The reversal of 10001040014400 is 441004010001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10001040014400.

It is not an unprimeable number, because it can be changed into a prime (10001040014401) 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, 1558557 + ... + 4736156.

Almost surely, 2^{10001040014400} is an apocalyptic number.

10001040014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001040014400 is an abundant number, since it is smaller than the sum of its proper divisors (22909839801504).

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

10001040014400 is a wasteful number, since it uses less digits than its factorization.

10001040014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295069 (or 6295054 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10001040014400 its reverse (441004010001), we get a palindrome (10442044024401).

The spelling of 10001040014400 in words is "ten trillion, one billion, forty million, fourteen thousand, four hundred".