10400014000 has 40 divisors (see below), whose sum is σ = 25147238688. Its totient is φ = 4160004800.

The previous prime is 10400013973. The next prime is 10400014049. The reversal of 10400014000 is 41000401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598004 + ... + 2602003.

Almost surely, 2^10400014000 is an apocalyptic number.

10400014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400014000 is an abundant number, since it is smaller than the sum of its proper divisors (14747224688).

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

10400014000 is an equidigital number, since it uses as much as digits as its factorization.

10400014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200030 (or 5200014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10400014000 its reverse (41000401), we get a palindrome (10441014401).

The spelling of 10400014000 in words is "ten billion, four hundred million, fourteen thousand".