10014004000 has 768 divisors, whose sum is σ = 34395798528. Its totient is φ = 2764800000.

The previous prime is 10014003973. The next prime is 10014004027. The reversal of 10014004000 is 40041001.

It is an interprime number because it is at equal distance from previous prime (10014003973) and next prime (10014004027).

It is a super-2 number, since 2×10014004000² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164163970 + ... + 164164030.

It is an arithmetic number, because the mean of its divisors is an integer number (44786196).

Almost surely, 2^10014004000 is an apocalyptic number.

10014004000 is a gapful number since it is divisible by the number (10) 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 10014004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197899264).

10014004000 is an abundant number, since it is smaller than the sum of its proper divisors (24381794528).

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

10014004000 is a wasteful number, since it uses less digits than its factorization.

10014004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

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

Adding to 10014004000 its reverse (40041001), we get a palindrome (10054045001).

The spelling of 10014004000 in words is "ten billion, fourteen million, four thousand".